A Level Physics 9702 Paper 13, May/June 2025

What represents a vector quantity? A 1 N upwards B 2 kg decrease C 3 K cooler D 4 s later

What is a reasonable estimate of the current in an electric kettle that is in use? A $8\mu \text{A}$ B $8\text{ mA}$ C $8\text{ A}$ D $8\text{ kA}$

Which statement about errors in measurements is correct? A An accurate set of measurements always has a small random error. B A precise set of measurements always has a small systematic error. C A random error can be reduced by taking an average of several measurements. D A systematic error creates a random set of measurements spread out about the true value.

A sample of material has cross-sectional area $A$ and length $L$. The temperatures at the two sides of the sample are $T_1$ and $T_2$. Thermal energy $Q$ is transferred through the sample in time $t$. These quantities are related by $$\frac{Q}{t}=\frac{k\times A\times (T_1-T_2)}{L}$$ where $k$ is a constant. What are the SI base units of $k$? A $\text{kg m}{\text{ s}}^{-3}{}^{\circ }{\text{C}}^{-1}$ B $\text{kg m}{\text{ s}}^{-3}{\text{ K}}^{-1}$ C $\text{kg m}{\text{ s}}^{-1}{}^{\circ }{\text{C}}^{-1}$ D $\text{kg m}{\text{ s}}^{-1}{\text{ K}}^{-1}$

The graph shows the variation of velocity with time $t$ of an object moving in a straight line. At $t=0$, the displacement of the object is zero. What is the displacement of the object at $t=20\text{ s}$? A $-3\text{ m}$ B $21\text{ m}$ C $24\text{ m}$ D $27\text{ m}$

A science museum designs an experiment to show the fall of a feather in a vertical glass vacuum tube. The time of fall from rest in the vacuum is to be close to $0.5\text{ s}$. Which length of tube is required? A $1.2\text{ m}$ B $2.5\text{ m}$ C $4.9\text{ m}$ D $9.8\text{ m}$

Two coins are projected from a horizontal table at the same initial speed $u$. Coin X is projected horizontally. Coin Y is projected upwards at an angle of ${30}^{\circ }$ to the horizontal. Both coins hit the horizontal ground without bouncing. Assume the air resistance on each coin is negligible. Which statement about the motion of the coins is correct? A Both coins hit the ground with the same speed. B Both coins travel the same vertical distance. C Coin Y hits the ground before coin X. D Coin Y has a smaller vertical acceleration.

Two spheres are released from rest at equal heights above the ground. Both spheres reach terminal velocity. One sphere has a larger density than the other sphere. Both spheres have equal volumes. Which statement is correct while both spheres are at terminal velocity? A The drag forces on the spheres are equal. B The resultant forces on the spheres are equal. C The velocities of the spheres are equal. D The weights of the spheres are equal.

Which statement defines force? A When a force acts on a body that is free to move, the force is the product of the mass of the body and its acceleration. B When a force acts on a body that is free to move, the force is the rate of change of momentum of the body. C When a force acts on a body that is free to move, the force is the work done by the force divided by the distance moved by the body. D When a force acts on a lever and causes a moment, the force is the moment divided by the perpendicular distance of the force from the pivot.

Four forces, all in the same plane, act on an object. What could describe the motion of the object? A It is accelerating. B It is moving in a straight line. C It is moving with decreasing speed. D It is moving with increasing momentum.

A nucleus collides with a stationary nucleus in a vacuum. The diagrams show the paths of the nuclei before and after the collision. No other particles are involved in the collision. Which diagram is not possible?

A non-uniform bar PQ has length $50\text{ cm}$ and weight $200\text{ N}$. A block of weight $400\text{ N}$ is attached to the top of the bar at its centre. The bar rests on horizontal ground. A vertical force of $360\text{ N}$ is now exerted upwards on the bar at end Q and is just sufficient to lift end Q from the ground. What is the distance from the centre of gravity of the bar to end P? A $0.050\text{ m}$ B $0.10\text{ m}$ C $0.25\text{ m}$ D $0.40\text{ m}$

What is the definition of density? A mass of one cubic metre B mass of a unit volume C mass per cubic metre D mass per unit volume

A block is in equilibrium on a slope. Which vector triangle represents the three forces acting on the block?

A measuring cylinder contains $80{\text{ cm}}^3$ of a liquid. The pressure due to the liquid at the $60{\text{ cm}}^3$ mark is $1200\text{ Pa}$. What is the pressure due to the liquid at the base of the measuring cylinder? A $1200\text{ Pa}$ B $1600\text{ Pa}$ C $3600\text{ Pa}$ D $4800\text{ Pa}$

Four identical uniform blocks are spread on a table. Each block has mass $m$ and thickness $h$. The acceleration of free fall is $g$. How much work is done on the blocks in stacking them on top of one another? A $3mgh$ B $6mgh$ C $8mgh$ D $10mgh$

An electric motor uses $1.7\text{ kW}$ of power when operating normally. The efficiency of the motor is $53\mathrm{\%}$. What is the useful output power of the motor? A $0.032\text{ kW}$ B $0.90\text{ kW}$ C $3.2\text{ kW}$ D $90\text{ kW}$

A ball is released from rest and falls vertically to the ground. The kinetic energy $E_{\text{K}}$ of the ball varies as the height $h$ of the ball above the ground changes. Air resistance is negligible. Which graph shows the variation of $E_{\text{K}}$ with $h$?

An object travelling with a speed of $10{\text{ m s}}^{-1}$ has kinetic energy of $1500\text{ J}$. The speed of the object is increased to $40{\text{ m s}}^{-1}$. What is the new kinetic energy of the object? A $4500\text{ J}$ B $6000\text{ J}$ C $24000\text{ J}$ D $1350000\text{ J}$

What are the units of stress, strain and the Young modulus?

The force–extension graph for a metal wire is shown. Which quantity is represented by the area under the graph? A power transferred to the wire B temperature increase in the wire C time taken for the wire to extend D work done on the wire

A wire of length $L_0$ is attached at one end to a fixed point. A tensile force is applied to the other end so that the wire extends and has a new length $L_1$. What is the strain of the wire? A $\left(\frac{L_1}{L_0}\right)-1$ B $L_1-L_0$ C $\left(\frac{L_1}{L_0}\right)+1$ D $L_1+L_0$

A wire of length $L$ is stretched to determine its limit of proportionality. The graph shows the variation of the extension $x$ with the force $F$ applied to the wire. The limit of proportionality is shown by point P on the graph. The experiment is repeated with another wire of length $2L$ but of the same material and same diameter as the first wire. Which point on the graph shows the limit of proportionality for the new wire?

The graph shows the variation with distance along the wave of the displacement of water particles at a particular instant in time for a transverse water wave. P, Q and R show the positions of three water particles in the wave. Which particle has the greatest speed at the instant shown? A all have the same speed B particle P C particle Q D particle R

Which phenomenon is only associated with transverse waves? A diffraction B interference C polarisation D reflection

A wave is displayed on an oscilloscope. The oscilloscope settings are: time–base: $300\mu {\text{s div}}^{-1}$ y-gain: $40\mu {\text{V div}}^{-1}$. What is the frequency of the wave? A $130\text{ Hz}$ B $950\text{ Hz}$ C $1100\text{ Hz}$ D $7100\text{ Hz}$

An electromagnetic wave travelling in free space is not visible to the human eye. What is a possible wavelength of the wave? A $4.5\times {10}^{-10}\text{ km}$ B $6.2\times {10}^{-7}\text{ m}$ C $5.4\times {10}^{-6}\text{ cm}$ D $4.2\times {10}^{-4}\text{ mm}$

Electromagnetic waves of equal wavelengths are emitted from two sources, X and Y. The waves are emitted from X and Y with a phase difference of ${180}^{\circ }$. A detector moves along a path that is parallel to the line XY and detects a pattern of intensity maxima and minima. The diagram shows the arrangement of the sources and the path of the detector. An intensity maximum is detected at point Z. Length XZ is $70\text{ cm}$ and length YZ is $110\text{ cm}$. What is a possible wavelength of the waves? A $10\text{ cm}$ B $16\text{ cm}$ C $20\text{ cm}$ D $40\text{ cm}$

Two waves of the same type overlap. When does the principle of superposition apply? A always B only when the waves have the same amplitude C only when the waves travel in opposite directions D only when the waves have the same frequency

A ripple tank contains water at a constant depth. A water wave of constant frequency travels towards a gap in a barrier placed in the ripple tank. The gap is made smaller. Which diagram represents the wave before and after the barrier?

Light of a single frequency from two coherent sources interferes to produce a pattern of bright and dark fringes on a screen. Which change results in a larger fringe separation? A increasing the distance between the sources and the screen B increasing the distance between the two sources C increasing the frequency of the light D increasing the intensity of the light

The current $I$ in a metallic conductor of cross-sectional area $A$ is given by $$I=Anve$$ where $e$ is the elementary charge and $v$ is the mean drift velocity of the conduction electrons. What is represented by the letter $n$ in the equation? A density of conduction electrons B number of conduction electrons per unit time C number of conduction electrons per unit volume D volume of conduction electrons

What cannot be the charge on a charge carrier? A $-4.8\times {10}^{-19}\text{ C}$ B $-3.2\times {10}^{-19}\text{ C}$ C $-2.4\times {10}^{-19}\text{ C}$ D $+3.2\times {10}^{-19}\text{ C}$

A steel wire with a length of $2.20\text{ m}$ is connected to a battery as shown. The reading on the voltmeter is $1.50\text{ V}$ and the reading on the ammeter is $4.90\text{ A}$. The resistivity of steel is $6.90\times {10}^{-7}\mathrm{\Omega }\text{ m}$. What is the diameter of the steel wire? A $1.76\times {10}^{-4}\text{ m}$ B $3.52\times {10}^{-4}\text{ m}$ C $1.26\times {10}^{-3}\text{ m}$ D $2.51\times {10}^{-3}\text{ m}$

Two resistors of resistance $R$ and two resistors of resistance $3R$ are connected to a cell of e.m.f. $8.0\text{ V}$ as shown. The cell has negligible internal resistance. What is the reading on the voltmeter? A $0.0\text{ V}$ B $2.0\text{ V}$ C $4.0\text{ V}$ D $6.0\text{ V}$

A battery has an e.m.f. $E$ and internal resistance $r$. The battery delivers a current $I$ to a variable resistor and the p.d. across its terminals is $V$. The variable resistor is adjusted so that $I$ increases. Why does $V$ decrease? A The e.m.f. $E$ decreases. B The internal resistance $r$ increases. C The p.d. across $r$ increases. D The resistance of the variable resistor increases.

An electrical device of fixed resistance $20\mathrm{\Omega }$ is connected in series with a variable resistor and a battery of e.m.f. $16\text{ V}$ and negligible internal resistance. The power dissipated in the electrical device is $4.0\text{ W}$. What is the resistance of the variable resistor? A $16\mathrm{\Omega }$ B $36\mathrm{\Omega }$ C $44\mathrm{\Omega }$ D $64\mathrm{\Omega }$

A nucleus decays by emitting a ${\beta }^{+}$ particle. Which particle must also be emitted from the nucleus? A antineutrino B ${\beta }^{-}$ particle C $\alpha$-particle D neutrino

What are the charges on an antidown quark and on an antistrange quark?

The nucleus of a radioactive isotope of an element emits an $\alpha$-particle. The daughter nucleus then emits a ${\beta }^{-}$ particle and then the daughter nucleus of that reaction emits another ${\beta }^{-}$ particle. Which statement describes the final nuclide that is formed? A It is a different isotope of the original element. B It is a nuclide of a different element of higher proton number. C It is a nuclide of the same element but with different proton number. D It is identical to the original nuclide.