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A Level Core Practicals

A-Level Physics Practicals

This document covers the core practical procedures across the A-Level Physics course, organized by module.


Module 3: Mechanics

1. Investigating Motion and Collisions

Focuses on verifying momentum conservation or investigating the relationship between force and acceleration.

Equipment

    Trolleys or air track gliders Air track or friction-compensated ramp Light gates and a digital data logger Interrupter cards (of known length) Masses and string (if investigating $F=ma$)

    Method & Data Analysis

      Set up the air track or ramp. If using a ramp, tilt it slightly to compensate for friction. Attach an interrupter card to the trolley and set up two light gates. For a collision, place one trolley at rest and launch the second toward it. Record initial velocity ($u$) and final velocities ($v$) using light gates. Measure the mass of each trolley. Data Analysis: Compare initial momentum ($m_1u_1 + m_2u_2$) to final momentum ($m_1v_1 + m_2v_2$). Data Analysis: Calculate kinetic energy ($1/2mv^2$) to determine if the collision was elastic.

      Improving Accuracy

        Use an air track to eliminate friction. Ensure interrupter cards are vertical and measured precisely. Repeat measurements and calculate a mean.

        Safety

          Use a "catch box" to stop trolleys falling. Securely attach masses to the string.

          2. Determining Acceleration of Free Fall ($g$)

          Measuring $g$ using a falling object and electronic timing.

          Equipment

            Electromagnet and steel ball bearing Trapdoor and base unit Electronic timer or data logger Metre ruler and plumb line

            Method & Data Analysis

              Position the electromagnet at height ($h$) above the trapdoor. Release the ball; the timer starts on release and stops when the trapdoor is hit. Repeat for at least five different heights. Data Analysis: Use $h = 1/2gt^2$ (from $s = ut + 1/2at^2$ where $u=0$). Data Analysis: Plot $h$ vs $t^2$. Gradient = $g/2$.

              Improving Accuracy

                Use a small, dense ball to minimize air resistance. Measure height from the bottom of the ball to the top of the trapdoor.

                Safety

                  Switch off electromagnet when not in use. Keep floor clear of trip hazards.

                  3. Determining Terminal Velocity in Fluids

                  Investigating motion when drag force equals weight.

                  Equipment

                    Large transparent cylinder Viscous liquid (Glycerol or heavy oil) Steel ball bearings (varying sizes) Stopwatch and rubber bands (for markers)

                    Method & Data Analysis

                      Mark equal intervals on the cylinder using rubber bands. Drop the ball bearing into the center. Record time at each marker; constant time between markers indicates terminal velocity. Data Analysis: Calculate $v = \Delta s / \Delta t$. Data Analysis: Plot velocity vs time; the plateau is terminal velocity.

                      Improving Accuracy

                        Drop in the center to avoid "wall effects." Use a tall enough cylinder to ensure terminal velocity is reached. Use video analysis for more precise timing.

                        Safety

                          Clean spills immediately (slippery). Wear goggles to prevent splashes.

                          4. Experimental Determination of Centre of Gravity

                          Using the principle of moments to locate the balancing point.

                          Equipment

                            Irregularly shaped flat object (lamina) Plumb line (string and weight) Clamp stand, pin, and pencil

                            Method & Data Analysis

                              Make three holes near the edges of the lamina. Suspend the lamina and plumb line from a pin through one hole. Mark the path of the plumb line on the lamina. Repeat for other holes. Data Analysis: The intersection of the lines is the centre of gravity.

                              Improving Accuracy

                                Ensure the lamina swings freely. Use a thin, sharp pencil for lines. Space holes widely around the perimeter.

                                Safety

                                  Take care with pins to avoid finger pricks. Secure the clamp stand to the desk.

                                  5. Investigating Force-Extension Characteristics

                                  Applying Hooke’s Law to determine material stiffness.

                                  Equipment

                                    Helical spring, rubber band, or polythene strip Clamp stand and slotted masses Millimetre ruler and set square

                                    Method & Data Analysis

                                      Measure original length ($l_0$). Add masses in increments, recording the new length ($l$). Calculate extension $x = l - l_0$. Unload masses to check for plastic deformation. Data Analysis: Plot Force vs Extension. Data Analysis: Gradient of linear section is the spring constant ($k$) where $F = kx$.

                                      Improving Accuracy

                                        Use a set square to avoid parallax error. Wait for oscillations to stop before reading.

                                        Safety

                                          Wear goggles in case the spring snaps. Use a padded box under masses to protect feet.

                                          Module 4: Electrons, Waves, and Photons

                                          6. Determining the Young Modulus

                                          Determining stiffness by measuring the ratio of tensile stress to tensile strain.

                                          Equipment

                                            Long, thin metal wire G-clamp, pulley, and slotted masses Micrometer and travelling microscope

                                            Method & Data Analysis

                                              Measure wire diameter in several places to find average area ($A$). Measure original length ($L$) from clamp to marker. Add masses and measure extension ($\Delta L$) using a travelling microscope. Data Analysis: Calculate stress ($\sigma = F/A$) and strain ($\varepsilon = \Delta L/L$). Data Analysis: Plot Stress vs Strain. Gradient = Young Modulus ($E$).

                                              Improving Accuracy

                                                Use a long wire (3m+) for larger extensions. Ensure the wire is straight and free of kinks.

                                                Safety

                                                  Wear goggles; wire can whip if it snaps. Use a padded box for falling weights.

                                                  7. Investigating Electrical Characteristics (I-V)

                                                  Examining how current varies with potential difference across components.

                                                  Equipment

                                                    Variable DC power supply or rheostat Ammeter and Voltmeter Components: Resistor, filament lamp, diode, thermistor

                                                    Method & Data Analysis

                                                      Connect component in series with ammeter and variable resistor. Connect voltmeter in parallel across the component. Vary potential difference and record $I$ and $V$. Reverse connections for negative readings. Data Analysis: Plot $I$ vs $V$.

                                                      Improving Accuracy

                                                        Use a potential divider for better control at low voltages. Switch off between readings to prevent heating.

                                                        Safety

                                                          Components can become hot; avoid touching during operation.

                                                          8. Determining the Resistivity of a Metal

                                                          Calculating material-specific property independent of dimensions.

                                                          Equipment

                                                            Resistance wire and micrometer Ammeter, Voltmeter, and metre ruler Jockey or crocodile clips

                                                            Method & Data Analysis

                                                              Measure wire diameter to find area ($A$). Vary the length ($L$) of wire in the circuit. Record Resistance ($R = V/I$) for each length. Data Analysis: Plot $R$ vs $L$. Gradient = $\rho/A$. Data Analysis: $\rho = \text{gradient} \times A$.

                                                              Improving Accuracy

                                                                Pull wire taut against the ruler. Use low current to minimize heating.

                                                                Safety

                                                                  Wire can become very hot; do not touch while power is on.

                                                                  9. Determining Internal Resistance

                                                                  Investigating terminal voltage drop under load.

                                                                  Equipment

                                                                    Cell, variable resistor, and switch Ammeter and Voltmeter

                                                                    Method & Data Analysis

                                                                      Record e.m.f. ($\varepsilon$) with switch open ($I=0$). Close switch and vary current ($I$) using the variable resistor. Record terminal voltage ($V$) and $I$. Data Analysis: Use $V = \varepsilon - Ir$. Data Analysis: Plot $V$ vs $I$. y-intercept = $\varepsilon$, magnitude of gradient = $r$.

                                                                      Improving Accuracy

                                                                        Use a new battery for stable readings. Close switch only briefly for each reading.

                                                                        Safety

                                                                          Avoid short circuits to prevent cell damage or leaks.

                                                                          10. Investigating Potential Divider Circuits

                                                                          Creating specific output voltages using resistor combinations.

                                                                          Equipment

                                                                            Power supply, fixed resistors Thermistor or LDR Voltmeter, water bath/lamp

                                                                            Method & Data Analysis

                                                                              Set up two components in series. Measure $V_{out}$ across one component. Vary temperature (thermistor) or light (LDR). Data Analysis: Compare to $V_{out} = V_{in} \times (R_2 / (R_1 + R_2))$.

                                                                              Improving Accuracy

                                                                                Keep thermometer and thermistor close together. Measure distance to light source for LDR.

                                                                                Safety

                                                                                  Keep water away from power supplies.

                                                                                  11. Using an Oscilloscope to Determine Frequency

                                                                                  Measuring time periods to calculate wave frequency.

                                                                                  Equipment

                                                                                    Oscilloscope (CRO) Signal generator

                                                                                    Method & Data Analysis

                                                                                      Connect signal generator to CRO. Adjust Time-base to see at least one full cycle. Measure horizontal divisions for one cycle. Calculate Period ($T$) = divisions $\times$ Time-base. Data Analysis: Frequency $f = 1/T$.

                                                                                      Improving Accuracy

                                                                                        Measure across multiple cycles and divide. Align cycle start with a major grid line.

                                                                                        Safety

                                                                                          Ensure equipment is PAT tested.

                                                                                          12. Demonstrating Wave Effects in a Ripple Tank

                                                                                          Visualizing reflection, refraction, and diffraction.

                                                                                          Equipment

                                                                                            Ripple tank, motor-driven dipper Strobe light Barriers and glass blocks

                                                                                            Method & Data Analysis

                                                                                              Set up shallow water and constant dipper frequency. Use strobe to "freeze" waves. Use barriers for reflection/diffraction and glass blocks for refraction. Data Analysis: Measure $\lambda$; calculate $v = f\lambda$.

                                                                                              Improving Accuracy

                                                                                                Use a strobe for stable measurements. Ensure tank is level and on a damped surface.

                                                                                                Safety

                                                                                                  Keep water away from electricity. Be aware of strobe sensitivity (epilepsy).

                                                                                                  13. Observing Polarising Effects

                                                                                                  Demonstrating transverse wave planes.

                                                                                                  Equipment

                                                                                                    Microwave transmitter/receiver and metal grille Light source and polarising filters

                                                                                                    Method & Data Analysis

                                                                                                      Light: Rotate one filter relative to another; observe intensity changes. Microwaves: Rotate metal grille between transmitter and receiver. Data Analysis: Note absorption when wires are parallel to electric field oscillation.

                                                                                                      Improving Accuracy

                                                                                                        Use a digital light sensor. Keep metal objects away from microwave path.

                                                                                                        Safety

                                                                                                          Do not look directly at high-intensity light.

                                                                                                          14. Investigating Refraction and Total Internal Reflection

                                                                                                          Mapping light paths across media boundaries.

                                                                                                          Equipment

                                                                                                            Ray box, glass blocks (rectangular and semi-circular) Protractor and paper

                                                                                                            Method & Data Analysis

                                                                                                              Trace block outline and entry/exit rays. Measure angles of incidence ($i$) and refraction ($r$). For TIR, use semi-circular block and increase $i$ until refraction disappears. Data Analysis: Plot $\sin i$ vs $\sin r$. Gradient = $n$. Data Analysis: Verify $n = 1 / \sin C$.

                                                                                                              Improving Accuracy

                                                                                                                Use a thin ray and sharp pencil. Use a large protractor.

                                                                                                                Safety

                                                                                                                  Ray boxes get hot; turn off when not in use.

                                                                                                                  15. Superposition Experiments

                                                                                                                  Investigating interference patterns from coherent sources.

                                                                                                                  Equipment

                                                                                                                    Two speakers/Laser/Microwaves Double-slit slide and screen

                                                                                                                    Method & Data Analysis

                                                                                                                      Shine laser through double-slit. Measure slit separation ($d$), distance to screen ($D$), and fringe width ($w$). Data Analysis: $\lambda = \frac{dw}{D}$.

                                                                                                                      Improving Accuracy

                                                                                                                        Ensure $D$ is large ($2\text{m}+$). Measure across several fringes and divide.

                                                                                                                        Safety

                                                                                                                          Laser Safety: Never look directly into the beam.

                                                                                                                          16. Determining the Wavelength of Light

                                                                                                                          Using diffraction to measure nanometer-scale wavelengths.

                                                                                                                          Equipment

                                                                                                                            Laser, diffraction grating Metre ruler and tape measure

                                                                                                                            Method & Data Analysis

                                                                                                                              Shine laser through grating onto screen. Measure distance to screen ($D$) and distance to maxima ($x$). Calculate slit separation $d$ from lines per mm. Data Analysis: Use $d \sin \theta = n\lambda$ where $\tan \theta = x/D$.

                                                                                                                              Improving Accuracy

                                                                                                                                Large $D$ reduces percentage uncertainty. Measure between orders (e.g., $+1$ to $-1$) and divide.

                                                                                                                                Safety

                                                                                                                                  Standard laser safety protocols.

                                                                                                                                  17. Observing Stationary Waves

                                                                                                                                  Demonstrating interference forming nodes and antinodes.

                                                                                                                                  Equipment

                                                                                                                                    Vibration generator, signal generator String, pulley, and weights

                                                                                                                                    Method & Data Analysis

                                                                                                                                      Vary frequency until a standing wave forms. Find harmonics. Data Analysis: Node-to-node distance = $\lambda/2$. Data Analysis: Calculate $v = f\lambda$.

                                                                                                                                      Improving Accuracy

                                                                                                                                        Use a sharp bridge for the fixed end. Repeat for multiple harmonics.

                                                                                                                                        Safety

                                                                                                                                          Wear goggles in case the string snaps.

                                                                                                                                          18. Determining the Speed of Sound in Air

                                                                                                                                          Using resonance in a closed pipe.

                                                                                                                                          Equipment

                                                                                                                                            Resonance tube, cylinder of water Tuning forks, metre ruler

                                                                                                                                            Method & Data Analysis

                                                                                                                                              Hold vibrating fork over tube and raise from water until resonance. Measure air column length ($L$). Data Analysis: First resonance $L + c = v/4f$ ($c$ is end correction). Data Analysis: Plot $L$ vs $1/f$. Gradient = $v/4$.

                                                                                                                                              Improving Accuracy

                                                                                                                                                Average length from raising and lowering. Perform end correction.

                                                                                                                                                Safety

                                                                                                                                                  Mop up water spills.

                                                                                                                                                  19. Determining the Planck Constant ($h$)

                                                                                                                                                  Using LED "turn-on" voltage.

                                                                                                                                                  Equipment

                                                                                                                                                    LEDs of different wavelengths Power supply, voltmeter, resistor

                                                                                                                                                    Method & Data Analysis

                                                                                                                                                      Increase voltage until LED just glows; record threshold $V_0$. Repeat for different colors. Data Analysis: $eV_0 = hc/\lambda$. Data Analysis: Plot $V_0$ vs $1/\lambda$. Gradient = $hc/e$.

                                                                                                                                                      Improving Accuracy

                                                                                                                                                        Use a dark room to see initial glow. Extrapolate $I-V$ graph to $I=0$.

                                                                                                                                                        Safety

                                                                                                                                                          Do not exceed LED current rating.

                                                                                                                                                          20. Demonstration of the Photoelectric Effect

                                                                                                                                                          Evidence for light as a particle.

                                                                                                                                                          Equipment

                                                                                                                                                            Gold-leaf electroscope, zinc plate UV lamp, emery paper

                                                                                                                                                            Method & Data Analysis

                                                                                                                                                              Clean zinc plate and place on negatively charged electroscope. Shine UV; leaf falls as electrons emit. Repeat with glass (absorbs UV) or positive charge (no emission). Data Analysis: $hf = \Phi + KE_{max}$.

                                                                                                                                                              Improving Accuracy

                                                                                                                                                                Ensure zinc is freshly sanded. Use a dry room.

                                                                                                                                                                Safety

                                                                                                                                                                  UV Safety: Wear UV-filtering goggles; do not look at lamp.

                                                                                                                                                                  Module 5: Newtonian World and Astrophysics

                                                                                                                                                                  21. Experimental Evidence of Electron Diffraction

                                                                                                                                                                  Demonstrating wave-like nature of electrons.

                                                                                                                                                                  Equipment

                                                                                                                                                                    Electron diffraction tube EHT power supply

                                                                                                                                                                    Method & Data Analysis

                                                                                                                                                                      Accelerate electrons through graphite target. Measure diffraction ring diameters ($D$) on screen. Data Analysis: Calculate $\lambda = \frac{h}{\sqrt{2meV}}$. Data Analysis: Verify with $n\lambda = d \sin \theta$.

                                                                                                                                                                      Improving Accuracy

                                                                                                                                                                        Darkened room for visibility. Measure at multiple voltages.

                                                                                                                                                                        Safety

                                                                                                                                                                          High Voltage: Do not touch terminals. Fragile Vacuum: Handle tube with care.

                                                                                                                                                                          22. Observing Brownian Motion

                                                                                                                                                                          Evidence for kinetic theory of gases.

                                                                                                                                                                          Equipment

                                                                                                                                                                            Smoke cell, microscope, lamp

                                                                                                                                                                            Method & Data Analysis

                                                                                                                                                                              Seal smoke in cell and illuminate from side. Observe random, jerky motion under microscope. Data Analysis: Conclude bombardment by invisible air molecules.

                                                                                                                                                                              Improving Accuracy

                                                                                                                                                                                Ensure cell is airtight. Let lamp warm up to avoid convection.

                                                                                                                                                                                Safety

                                                                                                                                                                                  Use matches/smoke in ventilated area.

                                                                                                                                                                                  23. Determining Specific Heat Capacity

                                                                                                                                                                                  Measuring energy to raise material temperature.

                                                                                                                                                                                  Equipment

                                                                                                                                                                                    Metal block, immersion heater, thermometer Ammeter, Voltmeter, Stopwatch, Insulation

                                                                                                                                                                                    Method & Data Analysis

                                                                                                                                                                                      Measure mass ($m$) and insulate block. Record Temperature vs Time while heating. Data Analysis: $E = VIt$. Data Analysis: $P = mc \times (\Delta \theta / \Delta t)$.

                                                                                                                                                                                      Improving Accuracy

                                                                                                                                                                                        Use oil in holes for thermal contact. Measure max temperature after heater is off.

                                                                                                                                                                                        Safety

                                                                                                                                                                                          Heater gets very hot; use only when submerged.

                                                                                                                                                                                          24. Determining Specific Latent Heat

                                                                                                                                                                                          Energy for change of state at constant temperature.

                                                                                                                                                                                          Equipment

                                                                                                                                                                                            Ice/Water, immersion heaters, balances

                                                                                                                                                                                            Method & Data Analysis

                                                                                                                                                                                              Use a "test" and "control" setup for melting ice. Measure mass melted by heater ($m = m_{test} - m_{control}$). Data Analysis: $L_f = VIt / m$.

                                                                                                                                                                                              Improving Accuracy

                                                                                                                                                                                                Ensure ice is at $0\text{°C}$. Steady boil for vaporisation.

                                                                                                                                                                                                Safety

                                                                                                                                                                                                  Avoid steam burns and keep water from electronics.

                                                                                                                                                                                                  25. Investigating Gas Laws

                                                                                                                                                                                                  Exploring P, V, and T relationships.

                                                                                                                                                                                                  Equipment

                                                                                                                                                                                                    Boyle’s Law apparatus, constant volume bulb Pressure gauge, water bath

                                                                                                                                                                                                    Method & Data Analysis

                                                                                                                                                                                                      Boyle: Plot $P$ vs $1/V$. Pressure: Plot $P$ vs $T$ (Celsius); extrapolate to $P=0$ for absolute zero.

                                                                                                                                                                                                      Improving Accuracy

                                                                                                                                                                                                        Change volume slowly (isothermal). Submerge entire gas volume in water bath.

                                                                                                                                                                                                        Safety

                                                                                                                                                                                                          Do not exceed pressure limits.

                                                                                                                                                                                                          26. Investigating Circular Motion

                                                                                                                                                                                                          Relationship between force, mass, velocity, and radius.

                                                                                                                                                                                                          Equipment

                                                                                                                                                                                                            Rubber bung, tube, string, masses Stopwatch, balance, ruler

                                                                                                                                                                                                            Method & Data Analysis

                                                                                                                                                                                                              Whirl bung in horizontal circle with hanging mass providing centripetal force ($F=Mg$). Maintain constant radius ($r$) and record time for 20 rotations. Data Analysis: Calculate $v = 2\pi r / T$. Data Analysis: Plot $F$ vs $v^2$. Gradient = $m/r$.

                                                                                                                                                                                                              Improving Accuracy

                                                                                                                                                                                                                Use slow-motion camera for rotations. Whirl as horizontally as possible.

                                                                                                                                                                                                                Safety

                                                                                                                                                                                                                  Clear "no-go" zone for swinging bung. Wear goggles.

                                                                                                                                                                                                                  27. Determining Period/Frequency of SHM

                                                                                                                                                                                                                  Factors affecting oscillating systems.

                                                                                                                                                                                                                  Equipment

                                                                                                                                                                                                                    Masses, spring or pendulum Stopwatch, fiducial marker

                                                                                                                                                                                                                    Method & Data Analysis

                                                                                                                                                                                                                      Displace mass and record time for 20 oscillations. Vary mass (spring) or length (pendulum). Data Analysis (Spring): Plot $T^2$ vs $m$. Gradient = $4\pi^2/k$. Data Analysis (Pendulum): Plot $T^2$ vs $L$. Gradient = $4\pi^2/g$.

                                                                                                                                                                                                                      Improving Accuracy

                                                                                                                                                                                                                        Use fiducial marker at equilibrium. Small angles ($<10^\circ$) for pendulum.

                                                                                                                                                                                                                        Safety

                                                                                                                                                                                                                          Padded catch box for falling masses.

                                                                                                                                                                                                                          Module 6: Particles and Medical Physics

                                                                                                                                                                                                                          28. Investigating Capacitors in Combination

                                                                                                                                                                                                                          Verifying series and parallel rules.

                                                                                                                                                                                                                          Equipment

                                                                                                                                                                                                                            Capacitors, multimeters

                                                                                                                                                                                                                            Method & Data Analysis

                                                                                                                                                                                                                              Measure $C_{total}$ for series and parallel arrangements. Data Analysis: Parallel $C_{total} = \sum C$; Series $1/C_{total} = \sum 1/C$.

                                                                                                                                                                                                                              Improving Accuracy

                                                                                                                                                                                                                                Account for zero error of meter.

                                                                                                                                                                                                                                Safety

                                                                                                                                                                                                                                  Check polarity of electrolytic capacitors.

                                                                                                                                                                                                                                  29. Investigating Capacitor Charge and Discharge

                                                                                                                                                                                                                                  Exponential decay of voltage/current.

                                                                                                                                                                                                                                  Equipment

                                                                                                                                                                                                                                    Capacitor, resistor, DC source, stopwatch

                                                                                                                                                                                                                                    Method & Data Analysis

                                                                                                                                                                                                                                      Charge capacitor then discharge through resistor. Record $V$ vs time. Data Analysis: Plot $\ln V$ vs $t$. Gradient = $-1/RC$. Data Analysis: Time constant $\tau$ is time to fall to $37%$.

                                                                                                                                                                                                                                      Improving Accuracy

                                                                                                                                                                                                                                        Use high-resistance voltmeter.

                                                                                                                                                                                                                                        Safety

                                                                                                                                                                                                                                          Capacitors store energy; discharge safely.

                                                                                                                                                                                                                                          30. Determining Magnetic Flux Density ($B$)

                                                                                                                                                                                                                                          Using a current balance to measure force.

                                                                                                                                                                                                                                          Equipment

                                                                                                                                                                                                                                            Magnets, top-pan balance, stiff wire Power supply, ammeter

                                                                                                                                                                                                                                            Method & Data Analysis

                                                                                                                                                                                                                                              Place magnets on balance and tare. Run current through wire between magnets. Record mass change ($\Delta m$) for different currents ($I$). Data Analysis: $F = \Delta mg$. Plot $F$ vs $I$. Gradient = $BL$.

                                                                                                                                                                                                                                              Improving Accuracy

                                                                                                                                                                                                                                                Wire must be perfectly perpendicular to field. Use high-precision balance.

                                                                                                                                                                                                                                                Safety

                                                                                                                                                                                                                                                  Strong magnets (keep away from cards/pacemakers).

                                                                                                                                                                                                                                                  31. Investigating Magnetic Flux with Search Coils

                                                                                                                                                                                                                                                  Mapping field strength and orientation.

                                                                                                                                                                                                                                                  Equipment

                                                                                                                                                                                                                                                    Search coil, solenoid, signal generator, CRO

                                                                                                                                                                                                                                                    Method & Data Analysis

                                                                                                                                                                                                                                                      Place search coil in solenoid with AC field. Record induced e.m.f. ($V_0$). Vary angle ($\theta$) or position. Data Analysis: $V_0 \propto BAN\omega$.

                                                                                                                                                                                                                                                      Improving Accuracy

                                                                                                                                                                                                                                                        High frequency for larger e.m.f. Keep away from other metal objects.

                                                                                                                                                                                                                                                        Safety

                                                                                                                                                                                                                                                          Do not let solenoid overheat.

                                                                                                                                                                                                                                                          32. Investigating Transformers

                                                                                                                                                                                                                                                          Turn ratios and voltage relationships.

                                                                                                                                                                                                                                                          Equipment

                                                                                                                                                                                                                                                            C-cores, copper wire, AC supply, voltmeters

                                                                                                                                                                                                                                                            Method & Data Analysis

                                                                                                                                                                                                                                                              Wrap primary and secondary coils on C-cores. Measure $V_p$ and $V_s$ for different $N_s$. Data Analysis: $\frac{V_s}{V_p} = \frac{N_s}{N_p}$.

                                                                                                                                                                                                                                                              Improving Accuracy

                                                                                                                                                                                                                                                                Clamp cores tightly. Laminated cores reduce losses.

                                                                                                                                                                                                                                                                Safety

                                                                                                                                                                                                                                                                  Low Voltage AC Only.

                                                                                                                                                                                                                                                                  33. Absorption of Alpha, Beta, and Gamma Radiation

                                                                                                                                                                                                                                                                  Testing penetrating power.

                                                                                                                                                                                                                                                                  Equipment

                                                                                                                                                                                                                                                                    Sources, G-M tube and counter Absorbers: Paper, Aluminum, Lead

                                                                                                                                                                                                                                                                    Method & Data Analysis

                                                                                                                                                                                                                                                                      Measure background count. Measure count rate with source and different absorbers. Data Analysis: Use corrected count rate (Total - Background).

                                                                                                                                                                                                                                                                      Improving Accuracy

                                                                                                                                                                                                                                                                        Long counting times. Constant source-tube distance.

                                                                                                                                                                                                                                                                        Safety

                                                                                                                                                                                                                                                                          Time, Distance, Shielding. Use forceps.

                                                                                                                                                                                                                                                                          34. Determining the Half-Life of an Isotope

                                                                                                                                                                                                                                                                          Measuring decay rate over time.

                                                                                                                                                                                                                                                                          Equipment

                                                                                                                                                                                                                                                                            Protactinium generator, G-M tube, data logger

                                                                                                                                                                                                                                                                            Method & Data Analysis

                                                                                                                                                                                                                                                                              Shake generator and record count rate every 10s. Data Analysis: Plot corrected count rate vs time. Data Analysis: Find time to halve ($t_{1/2}$). Or plot $\ln(\text{Count Rate})$ vs $t$; gradient = $-\lambda$.

                                                                                                                                                                                                                                                                              Improving Accuracy

                                                                                                                                                                                                                                                                                Start readings immediately after shaking.

                                                                                                                                                                                                                                                                                Safety

                                                                                                                                                                                                                                                                                  Sealed source but handle with care.

                                                                                                                                                                                                                                                                                  35. Simulation of Radioactive Decay

                                                                                                                                                                                                                                                                                  Statistical model using dice.

                                                                                                                                                                                                                                                                                  Equipment

                                                                                                                                                                                                                                                                                    Large number of dice

                                                                                                                                                                                                                                                                                    Method & Data Analysis

                                                                                                                                                                                                                                                                                      Roll dice and remove those showing a "6". Record remaining dice ($N$) vs throw number ($t$). Data Analysis: Plot $N$ vs $t$ for exponential curve. Data Analysis: Verify $\lambda = 1/6$.

                                                                                                                                                                                                                                                                                      Improving Accuracy

                                                                                                                                                                                                                                                                                        Use large starting number (500+).