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Which pair of units are not the same when expressed in SI base units?
What is the vertical component of this displacement vector?
The units of specific heat capacity are J kg^{-1} K^{-1}.
What are the SI base units of specific heat capacity?
A quantity $y$ is to be determined from the equation shown.
$$y = \frac{px}{q^2}$$
The percentage uncertainties in $p$, $x$ and $q$ are shown.
[Table_1]
What is the percentage uncertainty in $y$?
A transmitter emits a pulse of electromagnetic waves towards a reflector. The pulse is reflected and returns to the transmitter.
A detector is located at the transmitter. The emitted pulse and the reflected pulse are displayed on a cathode-ray oscilloscope (c.r.o.) as shown.
The pulse takes 6.3 μs to travel from the transmitter to the reflector. What is the time-base setting of the c.r.o.?
A hot-air balloon is moving vertically upwards with a constant speed of 3.00 $m s^{-1}$. A sandbag is dropped from the balloon. It takes 5.00 s for the sandbag to fall to the ground.
What was the height of the balloon when the sandbag was released?
The velocity-time graph for a train starting at one station and stopping at the next is shown.
Another train has double the acceleration but the same maximum speed and the same deceleration.
Which velocity-time graph, on the same scale, shows the motion of this train between the same stations?
A stone is released from rest and falls a long distance in air. Which graph could show the variation with time $t$ of the acceleration $a$ of the stone?
A slow vehicle and a fast vehicle travel towards each other in a straight line and then collide. Which outcome is $\textit{never}$ possible, regardless of the masses of the vehicles?
Two blocks of masses $M$ and $m$ are joined by a thin string which passes over a frictionless pulley, as shown.
The acceleration of free fall is $g$.
What is the acceleration $a$ of the two blocks?
The diagram shows a block of copper suspended in water.
The block experiences an upthrust from the water.
Which statement is the basis of an explanation for this upthrust?
The diagram shows a solid cube with weight $W$ and sides of length $L$. It is supported at rest by a frictionless spindle that passes through the centres of two opposite vertical faces. One of these faces is shaded.
The spindle is now removed and replaced at a distance $\frac{L}{4}$ to the right of its original position.
When viewing the shaded face, what is the torque of the couple that will now be needed to keep the cube at rest?
A street lamp is fixed to a wall by a metal rod and a cable.
Which vector triangle could represent the forces acting at point P?
Two rigid steel beams XY and YZ are fixed at their lower ends and are hinged at Y. Each beam is inclined at 50° to the horizontal, as shown. A weight of 4.0 \times 10^4 \text{ N} hangs from Y. The structure is in equilibrium.
What is the force exerted by each beam on the hinge at Y?
Air is trapped inside a glass bulb which is immersed in water and attached to a U-tube containing mercury. The densities of water and mercury are $\rho_w$ and $\rho_m$ respectively. The surface of the water is open to the atmosphere where atmospheric pressure is $P$.
The acceleration of free fall is $g$.
What is the pressure of the air in the glass bulb?
A ball of mass $m$ is thrown up to height $h$ in air with an initial velocity $v$, as shown in the diagram.
Air resistance is negligible. The acceleration of free fall is $g$.
What is the total work done by the gravitational force on the ball during its flight from P to Q?
A constant force $F$, acting on a car of mass $m$, moves the car up a slope through a distance $s$ at constant velocity $v$. The angle of the slope to the horizontal is $\alpha$.
What is the ratio
$$\frac{\text{gravitational potential energy gained by car}}{\text{work done by force } F} ? $$
Car X is travelling at half the speed of car Y. Car X has twice the mass of car Y.
Which statement is correct?
During refuelling, a petrol car receives 50 litres of fuel in 90 seconds. The petrol has 34 MJ of energy per litre. For an electric car to receive the same amount of energy in the same time from a 230 V supply, what is the minimum current required?
A bolt is subjected to a tensile force, as shown.
The bolt has a circular cross-section. At end X the diameter is $2d$. At end Y the diameter is $d$.
What is the ratio \( \frac{\text{stress at Y}}{\text{stress at X}} \)?
A rectangular block of steel supporting a very large component of a bridge has a height of 15 cm and a cross-section of 20 cm \times 12 cm. It is designed to compress 1 mm when under maximum, evenly distributed, load.
The Young modulus of steel is $2.0 \times 10^{11}$ Nm\(^{-2}\).
What is the maximum load it can support?
When sound travels through air, the air particles vibrate. A graph of displacement against time for a single air particle is shown.
Which graph best shows how the kinetic energy of the air particle varies with time?
Which wave is a longitudinal wave?
A vibrating tuning fork is held above a glass cylinder filled to the top with water. The water level is steadily lowered. A loud sound is first heard when the water level is 83.5 cm above the bench. The next loud sound is heard when the water level is 17.1 cm above the bench.
The speed of sound in air is 340 m s^{-1}.
What is the frequency of the tuning fork?
A train that is moving in a straight line along a railway track has a whistle that continuously emits sound of frequency $f$.
A woman standing by the side of the track hears sound of frequency $0.85f$.
The speed of sound in the air is $340\,\text{ms}^{-1}$.
What is the velocity of the train?
Orange light in a vacuum has a wavelength of 600 nm.
What is the frequency of this light?
A stationary sound wave has a series of nodes. The distance between the first and the sixth node is 30.0 cm.
What is the wavelength of the sound wave?
Which diagram shows the diffraction of water waves in a ripple tank?
A hill stands between a radio transmitter and a house, as shown.
The radio transmitter cannot be seen from the house, but radio waves from the transmitter are received at the house.
Why is this?
In an experiment to demonstrate double-slit interference using light, the distance from the slits to the screen is doubled and the slit separation is halved. The wavelength of the light is kept constant.
By which factor does the separation of adjacent bright fringes change?
The diagram shows two metal plates connected to a constant high voltage.
Which graph shows the variation of the electric field strength $E$ midway between the two plates as the distance $d$ between the two plates is increased?
An electron moves between two points X and Y in a uniform electric field, as shown.
The distance between X and Y is 4.0 cm and the line XY is at an angle of 60° to the direction of the field.
The field exerts the only force on the electron.
The field strength is 100 N C^{-1}.
What is the change in the kinetic energy of the electron as it moves from X to Y?
Two copper wires are joined together and carry a current, as shown.
Wire P has diameter $d$ and wire Q has diameter $2d$.
What is the ratio $\dfrac{\text{average drift speed of the free electrons in wire P}}{\text{average drift speed of the free electrons in wire Q}}$?
A cell of negligible internal resistance is connected to resistors $R_1$, $R_2$, and $R_3$, as shown. The cell provides power to the circuit and power is dissipated in the resistors.
Which word equation must be correct?
Which graph represents a metallic conductor, where the resistance of the conductor is given by the gradient of the graph?
A typical mobile phone battery has an e.m.f. of 5.0 V and an internal resistance of 200 mΩ.
What is the terminal p.d. of the battery when it supplies a current of 500 mA?
The circuit shown contains a resistor S that is neither in series nor in parallel with the other resistors.
Kirchhoff’s laws can be used with the data in the diagram to deduce the resistance of each of the two identical resistors labelled R.
What is the resistance of each resistor R?
The diagram shows a potential divider connected to a 12V supply of negligible internal resistance. Which range of voltages can be obtained between X and Y?
The diagram shows a sequence of radioactive decays involving three $\alpha$-particles and a $\beta^-$ particle.
What is nuclide T?
Which combination of up (u) and down (d) quarks forms a neutron?