Question 1
One isotope of oxygen is178O.
Which row of the table shows the number of neutrons and the number of protons in a
(1)
Answer
One isotope of oxygen is178O.
Which row of the table shows the number of neutrons and the number of protons in a
(1)
A charged capacitor is discharged through a resistor. The potential difference across the capacitor halved in a time t. The time constant is T.
Which of the following is the equation for t?
(1)
Muons created in the upper atmosphere can travel towards the Earth’s surface at speeds close to the speed of light. Changes to the mass and average lifetime of the muons can then be observed.
Which row of the table describes these changes when muons travel at speeds close to
(1)
The plan view of a model racing car track is shown. Friction acts between a model racing car and the track. A car is moving round the track with a constant speed and reaches point P. Arrows indicating directions North and South are also shown.
The car then slides off the track at P.
Which of the following is the reason why the car slides off the track?
(1)
In a boiler, energy is transferred to water at a rate of 40 kW. The corresponding power loss from the boiler to the surroundings is 4.0 kW.
Which of the following is the efficiency of this boiler?
(1)
A car is fitted with an airbag which will inflate if the car stops very suddenly.
(Source: © KAIROS, LATIN STOCK/SCIENCE PHOTO LIBRARY)
Which of the following is increased if the airbag inflates because the car suddenly stops?
(1)
Questions 8 and 9 refer to the information below.
Alpha particle scattering investigations were first carried out in the early part of the 20th century.
The diagram shows the path of an α particle that is being deflected by the nucleus of a gold atom. The closest distance of approach of the α particle to the nucleus is at point P.
8 Which row in the table describes the speed and potential energy of the α particle at point P on this path?
(1)
Questions 8 and 9 refer to the information below.
Alpha particle scattering investigations were first carried out in the early part of the 20th century.
The diagram shows the path of an α particle that is being deflected by the nucleus of a gold atom. The closest distance of approach of the α particle to the nucleus is at point P.
9 Which of the following can be concluded about a gold atom from the deflection of this α particle?
(1)
An induction hob consists of a coil beneath a sheet of ceramic material. The coil is connected to an alternating current (a.c.) supply as shown.
pan
A steel pan containing water is placed on the induction hob.
Explain why the pan becomes hot when the supply is switched on.
(4)
The a.c. supply to the coil in an induction hob has a much higher frequency than normal mains frequency.
Explain why this is an advantage in this case.
(2)
An electrical conductor XY carries a current I as shown.
The current density j is defined as j = where A is the cross‑sectional area of the conductor.
Current density is a vector quantity.
State what is meant by a vector quantity.
(1)
I is constant but A decreases towards end Y.
Explain how this affects the drift velocity of the free electrons in the conductor.
(2)
The resistivity ρ of the conducting material is given by ρ = where E is the electric field strength.
Show that the units are the same on both sides of this equation.
(4)
The circuit shown provides an input to a transistor. A transistor is a type of electronic switch and in this circuit it can be assumed to have infinite resistance.
The resistance of the LDR varies with light level as shown below.
The transistor switches on when the potential difference across the input increases above 0.7 V. This should happen as the light level reaching the LDR increases above 30 lux.
Deduce whether this circuit responds as required.
(6)
Explain how the resistance of the LDR changes as the light level increases.
(2)
Overhead electricity cables for railway lines are supported by structures like the one shown.
An electric cable of mass 45 kg is suspended from a support rod X. A second support rod Y is attached to X. X and Y are attached at one end to a column.
The masses of support rods X and Y are negligible.
Determine, by taking moments, the force exerted on rod X by rod Y.
(4)
Complete the free‑body force diagram for support rod X.
(2)
A website gives a value of the electric field strength E, at two distances from the
| Distance / m | E / N C–1 |
| 3 | 1200 |
| 25 | 100 |
Deduce whether these data are consistent with an inverse square law.
(3)
A delta particle decays into a proton and a pion.
The diagram shows tracks in a particle detector formed when the delta particle decays.
State why it can be concluded from the diagram that the delta particle is neutral.
(1)
Deduce the charge on the pion.
(2)
Complete the particle equation for the decay of the delta (Δ0) particle.
(1)
State why the delta particle must be classified as a baryon based on the evidence of its decay.
(1)
Explain how the momentum of the proton compares with the momentum of the pion.
(3)
The mass of the delta particle is 1232 MeV/c2.
Calculate the mass of the delta particle in kg.
(3)
The mass of the proton is 939 MeV/c2 and the mass of the pion is 139 MeV/c2.
Explain why the sum of the masses of the two particles after the decay is not equal to the mass of the delta particle.
(3)
Electric vehicles use a direct current (d.c.) electric motor powered by a battery for propulsion. A simplified diagram of a d.c. electric motor is shown.
A split ring consists of two semi‑circular sections that are attached to a coil. The coil is labelled ABCD. Two brushes, made of carbon, rub against and make electrical contact with the split ring.
*(a) Describe how this arrangement can lead to the coil rotating.
(6)
An advert for an electric car has the following information:
• electric motor can develop up to 390 kW output power
• car achieves a velocity of 28 m s–1 from rest in 4.0 s at maximum power
Calculate the work done by resistive forces when the car accelerates to a velocity of
mass of car = 1950 kg
(3)
A website suggests that ‘fast‑charging’ the battery in an electric vehicle can increase the internal resistance of the battery.
Explain why an increase in internal resistance of a battery is a disadvantage.
(3)
In cricket a fielder is often placed at the boundary edge as shown. If the fielder catches the ball, the batter is out.
The fielder is 55.0 m away from the batter. The fielder can catch the ball providing the ball is less than three metres above the height at which it was hit.
The ball is hit with a velocity of 23.8 m s–1 and at an angle of 50.0 to the horizontal.
Deduce whether the fielder can catch the ball in this case.
(5)
The ball was bowled. Just after the bat hit the ball, the ball had a velocity of
Show that the magnitude of the momentum of the ball, after it was hit, was about 3.3 N s.
mass of cricket ball = 0.140 kg
(1)
The circuit shows a 1 mF capacitor connected to an a.c. supply. The graph shows how the potential difference V varies with time t.
Calculate the root‑mean‑square potential difference.
(1)
The formula used to generate this graph is V = 5 sin (100 πt)
Explain why this formula leads to the graph above.
(3)
A spreadsheet is used to model how the current I in the 1 mF capacitor varies with t. Six rows of the spreadsheet are shown below.
| A | B | C | D | E | F | G | |
| t / s | Δt / s | V / V | Qinitial / C | Qfinal / C | ΔQ / C | I / A | |
| 7 | 0.0050 | 0.0010 | 5.00 | 0.00476 | 0.00500 | 0.00024 | 0.24 |
| 8 | 0.0060 | 0.0010 | 4.76 | 0.00500 | 0.00476 | –0.00024 | –0.24 |
| 9 | 0.0070 | 0.0010 | 4.05 | 0.00476 | 0.00405 | –0.00071 | –0.71 |
| 10 | 0.0080 | 0.0010 | 2.94 | 0.00405 | 0.00294 | –0.00111 | –1.11 |
| 11 | 0.0090 | 0.0010 | 1.55 | 0.00294 | 0.00155 | –0.00139 | –1.39 |
| 12 | 0.0100 | 0.0010 | 0 | 0.00155 | 0.00000 | –0.00155 | –1.55 |
Explain how cell E10 has been calculated.
(2)
State the formula used to calculate cell G11.
(1)
Calculate the maximum energy stored on the capacitor.
(2)
The spreadsheet data are used to plot a graph to show how I varies with t. This is shown as a dashed line below.
The corresponding graph of V against t is also shown as a continuous line.
Deduce whether the capacitor dissipates power over one cycle of the a.c. supply.
(4)
The paper as printed
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