9702/52/M/J/22: The brightness of some stars varies regularly. These stars are called variable stars. Fig. 2.1 shows the variation of luminosity with time for a variable star. A student determines the period T and mean luminosity L of the star. The student repeats the process for different variable stars.
It is suggested that L and T are related by the equation \(L = SKT^a\) where S is the luminosity of the Sun, and a and K are constants.
Sample solutions for practical Paper 5 variant 2 Question 2 May/June 2022 Cambridge A Level Physics.
9702/52/F/M/22: A student investigates a circuit containing a capacitor and a resistor as shown in Fig. 2.1. A dual‑beam oscilloscope is connected across the capacitor of capacitance C and resistor of resistance R. The oscilloscope displays two traces as shown in Fig. 2.2.
The student determines the phase difference θ between the two traces. The student repeats the experiment with different resistors. It is suggested that θ and R are related by the equation
\(\tan \theta = \dfrac{1}{2 \pi f C R}\)
where f is the frequency of the a.c. power supply.
Sample solutions for practical Paper 5 variant 2 Question 2 Feb/March 2022 Cambridge A Level Physics.
9702/52/O/N/21: A Geiger–Müller (G–M) tube is a device that can detect beta-radiation. A student places paper between a radioactive source emitting beta-radiation and a G–M tube, as shown in Fig. 2.1. The G–M tube is connected to a rate-meter which records the count rate R. The thickness t of the paper is measured in two different places using a micrometer. The student repeats the experiment for different thicknesses of paper.
It is suggested that R and t are related by the equation \(R =R_0 e^{-\mu t} \) where \(R0\) is the count rate without any paper and μ is a constant.
Sample solutions for practical Paper 5 variant 2 Question 2 October/November 2021 Cambridge A Level Physics.
9702/51/M/J/21: A student investigates the collision of two gliders A and B on a linear air-track. A card is attached to glider B, as shown in Fig. 2.1. Glider B has a mass M. A mass m is added to glider B. Glider A travels at a constant velocity u towards the stationary glider B. The gliders then collide and move together towards the light gate. The card passes through the light gate which is connected to a data logger. The student records the velocity v of the two gliders from the data logger.
The student changes the mass m and repeats the experiment. It is suggested that v and m are related by the equation \(Au = (M + m + A)v\) where A is the mass of glider A.
Sample solutions for practical Paper 5 variant 1 Question 2 May/June 2021 Cambridge A Level Physics.
9702/52/F/M/21: A student investigates the collision of two gliders A and B on a linear air-track, as shown in Fig. 2.1. The light gate is connected to a timer. A card of length L is attached to glider B. The mass of glider B and the card is m. Glider B is initially at rest.
The student releases glider A so that it travels at a constant velocity u towards the stationary glider B. The gliders collide and then separate. The card on glider B passes through the light gate. The student records the time t for the card to pass through the light gate from the timer.
The student changes the mass of glider B and repeats the experiment.
It is suggested that the velocity v of glider B as it passes through the light gate and m are related by the equation
\(v = \dfrac{2uA}{m + A} \)
where A is the mass of glider A.
Solutions for practical Paper 5 variant 1 Question 2 February/March 2021 Cambridge A Level Physics.
9702/52/M/J/20: A student investigates how the viscous force in a liquid varies with temperature. The student releases a ball from the surface of the liquid in a container. The ball falls as shown in Fig. 2.1. The student determines the speed of the ball between P and Q and measures the thermodynamic temperature T of the liquid.
Viscosity is a term used to describe the viscous forces acting in a liquid. Viscosity has the unit pascal second (Pas). The viscosity η of the liquid is calculated from the speed of the ball. The experiment is repeated for the same liquid at different temperatures. It is suggested that η and T are related by the equation
\( \eta = He^{\frac{E}{kT}}\)
where E and H are constants and k is the Boltzmann constant.
May/June 2020 Paper 5 Variant 2 Questions 2 data analysis.
9702/51/M/J/20: A student investigates the discharge of a capacitor through a resistor using the circuit shown in Fig. 2.1. The student initially closes the switch and charges the capacitor. The switch is then opened and a stop-watch is started. The capacitor discharges through the resistor. At time t the potential difference V across the capacitor is measured.
It is suggested that V and t are related by the equation where Q0 is the charge of the fully charged capacitor, C is the capacitance of the capacitor and R is the resistance of the resistor.
9702/52/F/M/20: A student investigates the discharge of a capacitor through a resistor as shown in Fig. 2.1. The student initially closes the switch and charges the capacitor. The switch is then opened and a stop-watch is started. The capacitor discharges through the resistor. At different times t the current I is measured. It is suggested that I and t are related by the equation
\( I = \dfrac{E}{R} e^{-\frac{t}{RC}}\)
where E is the e.m.f. of the power supply, C is the capacitance of the capacitor and R is the resistance of the resistor.
Solutions for February/March 2020 Paper 5 variant 2 question 2 data analysis and graphing.
9702/52/O/N/19: A student is investigating how the resistance of a thermistor varies with temperature. The thermistor is placed in water, as shown in Fig. 2.1.
The thermistor is connected to a battery with electromotive force (e.m.f.) E and negligible internal resistance. The current I in the thermistor is measured. The resistance R of the thermistor is then determined using the expression R = E/I.
The experiment is repeated for different temperatures of the water.It is suggested that the resistance R of the thermistor and the thermodynamic temperature T are related by the equation R = pT^q where p and q are constants
9702/51/M/J/19: A student is investigating a rotary variable resistor, as shown in Fig. 2.1. The variable resistor is connected to a battery of electromotive force (e.m.f.) E and negligible internal resistance, as shown in Fig. 2.2.
The student uses a protractor to measure the angle θ through which the spindle of the variable resistor is rotated and records the current I. The experiment is repeated for different angles. It is suggested that I and θ are related by the equation E = IKθ where K is a constant.
Solutions for practical Paper 5 variant 1 Question 2 May/June 2019 Cambridge A Level Physics.
9702/51/O/N/18: A student is investigating the electric potential near a charged metal sphere. The sphere is suspended from the ceiling as shown in Fig. 2.1.
A flame probe is used to measure the potential V at a distance L from the surface of the sphere. The experiment is repeated for different distances from the sphere. It is suggested that V and L are related by the equation
\(V = \dfrac{Q}{4 \pi \epsilon_0 0(L + a)}\)
where Q is the charge on the sphere, a is the radius of the sphere and ε0 is the permittivity of free space.
Solutions for October/November 2018 Paper 5 variant 1 question 2 data analysis.
9702/52/F/M/18: A student is investigating monochromatic light passing through a double slit. Bright and dark fringes are produced on a screen as shown in Fig. 2.1.
The distance w between 10 bright fringes is measured. The fringe spacing P between neighbouring bright fringes is then determined.
The experiment is repeated for light of different wavelengths \(\lambda \).
It is suggested that the fringe spacing P and the wavelength \(\lambda \). are related by the equation
\(\dfrac{P}{D} = \frac{\lambda}{s} \)
where D is the distance from the double slit to the screen and s is the slit separation.
Paper 5 variant 2 Question 2 February/March data analysis with gradient, y-intercept, and uncertainty.