Question 1
A particle has a mass of 1 u and a charge of −1.610−19C.
Which of the following could be the particle?
(1)
A particle has a mass of 1 u and a charge of −1.610−19C.
Which of the following could be the particle?
(1)
The velocity v of a non‑relativistic particle can be expressed in terms of combinations of the following quantities: kinetic energy Ek, momentum p and mass m. Which of the following expressions is correct?
(1)
A ball is thrown with an initial horizontal component of velocity u and an initial vertical component of velocity v. The effects of air resistance are negligible.
Which of the following statements about the motion of the ball is not correct?
(1)
Questions 4 and 5 refer to the information below.
A demonstration is carried out using a beam of electrons in an evacuated tube.
When electrons hit a fluorescent screen, light is emitted. A piece of metal, in the shape of a Maltese cross, stops electrons and produces a shadow on the screen as shown.
4 The electrons are produced by heating a metal filament.
Which of the following is the name of this process?
(1)
Questions 4 and 5 refer to the information below.
A demonstration is carried out using a beam of electrons in an evacuated tube.
When electrons hit a fluorescent screen, light is emitted. A piece of metal, in the shape of a Maltese cross, stops electrons and produces a shadow on the screen as shown.
5 The screen is viewed by an observer at point X in the diagram above. A magnetic field is directed at the beam of electrons. This causes the shadow to move upwards on the screen in the direction OM.
In which of the following directions is the magnetic field acting as seen by this observer?
(1)
The graph shows how the potential V varies with distance d in an electric field.
Which of the following shows the corresponding variation in electric field strength E?
(1)
Which of the following quantities is a vector?
(1)
A point object has a charge +Q.
Which of the following diagrams shows equipotential lines differing by a constant potential difference, and electric field lines around the object?
(1)
Questions 9 and 10 refer to the information below.
Alpha particle scattering investigations were first carried out in the early part of the 20th century.
9 An alpha particle with initial kinetic energy 8.810−13J approaches a nucleus of a gold (19779Au) atom. Which of the following is an equation for the closest distance r, in metres, between the alpha particle and the nucleus?
(1)
Questions 9 and 10 refer to the information below.
Alpha particle scattering investigations were first carried out in the early part of the 20th century.
10 Which of the following conclusions could not be made as a result of these investigations?
(1)
A student drives a go‑kart up a slope.
The slope is at an angle of 5.7° to the horizontal. The go‑kart moves with a constant
Calculate the power of the go‑kart.
mass of go‑kart and driver = 60 kg resistive force on the go‑kart = 18 N
(4)
The go‑kart is powered by a battery connected to a motor. The rate of thermal energy transfer by the wiring in the motor is 55 W.
Calculate the resistance of the wiring in the motor.
current in motor = 24 A
(2)
The photograph shows a cyclist cycling at a constant velocity on horizontal ground.
The cyclist stops pedalling and comes to rest in a time of 5.2 s.
Sketch a graph to show how the cyclist’s velocity changes during this time.
Assume the deceleration is constant.
(2)
The cyclist travels 7.80 m while coming to rest.
Calculate the average resistive force on the cyclist and bicycle.
mass of cyclist and bicycle = 28.0 kg
(4)
A ‘tennis trainer’ consists of a tennis ball suspended by a string from the top of a vertical pole. When the ball is hit it travels in a horizontal circle around the pole, as shown in both the photograph and the diagram.
The radius of the path of the ball is 1.2 m and the speed of the ball is 3.8 m s−1.
Deduce whether these values are consistent with the angle between the string and the vertical pole shown in the photograph.
(5)
Power supplies provide either alternating or direct currents and potential differences.
A power supply produces an alternating potential difference (p.d.). The p.d. has a period of 0.02 s and a peak value of 4.0 V.
Calculate the frequency of the supply.
(1)
Calculate the root‑mean‑square p.d.
Root‑mean‑square p.d. =........
(1)
It is possible to convert alternating currents and p.d.s, to direct currents and p.d.s using diodes.
The power supply provides an input Vin to the circuit shown. The circuit includes four diodes D1, D2, D3 and D4 and a resistor R. The circuit produces an output
A graph of Vin against time and a corresponding graph of Vout against time are shown below.
Explain the operation of this circuit. Your answer should refer to D1, D2, D3 and D4.
(3)
A capacitor is added between points X and Y in the circuit.
The new graph of Vout against time is shown below.
Determine a value for the capacitance of the capacitor.
resistance of R = 2.2 kΩ
(3)
A series of experiments was carried out in the 1970s to investigate the structure of protons using the linac at Stanford, USA.
*(a) Explain how an electron is accelerated in a linac.
(6)
The electron leaves the accelerator with a high energy.
Explain why electrons need high energies to investigate the structure of a proton.
(2)
An electron leaves the accelerator with a momentum of 20 GeV / c.
Explain, with reference to base units, why GeV / c can be used as a unit of momentum.
(2)
An electron with initial momentum 20 GeV / c collides with a stationary proton. After the collision the electron is deflected by an angle of 20° as shown and its momentum is 9.1 GeV / c. The momentum of the proton after the collision is 11.9 GeV / c.
Deduce whether the law of conservation of momentum is obeyed.
(3)
The collisions between electrons and the protons in these experiments are sometimes inelastic.
State what is meant by an inelastic collision.
(1)
A device called a clutch can be used to connect a motor to a load. The diagram shows a design called an eddy current clutch.
Several magnets are embedded in the plastic disc and it is rotated by the motor.
Explain why a current is induced in the copper disc when the motor is switched on.
(2)
Explain, using Lenz’s law, why the copper disc rotates.
(3)
The motor rotates at 500 revolutions per minute.
Calculate the angular speed ω of the motor.
(2)
The table shows how the turning effect exerted on a load varies with ω for a particular distance between the copper disc and the plastic disc.
| ω/ rad s−1 | Turning effect / N cm |
| 52.4 | 1.0 |
| 104.7 | 2.0 |
| 157.1 | 2.8 |
Explain the trend shown by the data.
(4)
A cosmic ray, consisting of a fast‑moving proton, collides with a proton within the nucleus of an atom in the upper atmosphere. Three particles, a proton, a neutron and a pion result from the collision.
Write a particle equation for this collision.
(2)
The table shows the properties of two quarks.
| Quark | Charge /e |
| u | +2 / 3 |
| d | −1 / 3 |
Give the quark structure for each of the particles produced by this collision.
(3)
The mass of a pion is 140 MeV / c2.
Calculate the mass of the pion in kg.
(3)
The mass of a neutron is about the same as the mass of a proton. A student suggests that the minimum kinetic energy the cosmic ray proton would need to create the pion in this collision is 140 MeV.
Discuss whether this suggestion is correct. Your answer should include reference to the laws of conservation of momentum and conservation of energy.
(4)
A potential divider circuit may contain a component known as a potentiometer. One type of potentiometer consists of a track with terminals X and Y at either end. There is a sliding contact that can move along the track connected to a terminal Z as shown.
The length of the track is 115 mm and the width is 5.0 mm.
The resistance of the track between terminal X and terminal Y is 12.0 kΩ.
Calculate the thickness t of the track.
resistivity of track material = 0.49 Ω m
(3)
The potentiometer is used to monitor the displacement of a moving tool on a machine in a production line. The tool is attached to the sliding contact. The potentiometer is connected to a resistor of resistance R and a potential difference is applied as shown. The tool moves through a maximum displacement of 60 mm from end X, producing a maximum potential difference of 5.0 V between Z and X.
Show that the potential difference between X and Y is about 10 V.
(2)
Calculate the value of R.
(3)
When the circuit is assembled, using the correctly calculated resistance value and a battery of e.m.f. 12 V, it is found that the maximum output from the potentiometer is slightly less than 5.0 V.
Explain why the maximum output is slightly less than predicted.
(3)
The tool on the machine should not travel with a speed any larger than 0.8 m s−1.
The graph shows how the displacement varies with time for the downward stroke of the moving tool.
Deduce whether this speed is exceeded by the moving tool.
(4)
The paper as printed
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