Question 1
Which of the following is an example of a scalar quantity?
(1)
Which of the following is an example of a scalar quantity?
(1)
Which row of the table summarises the mass and charge of an antineutron?
(1)
Which of the following is a base SI unit?
(1)
A high-energy proton can interact with a photon to produce two particles.
Which of the following could be the two particles produced?
(1)
The graph shows how an electric potential V varies with distance x.
Which of the following shows the corresponding variation of electric field strength E with x ?
(1)
The intensity of light incident on a light dependent resistor (LDR) can vary both its electrical resistance R and the number of charge carriers per unit volume n. The light intensity on an LDR is increased.
Which row of the table describes the effect on R and n?
(1)
A proton has a mass of 1.67 Γ 10β27kg.
Which of the following shows the conversion of this mass to GeV/c2 ?
(1)
The blade of a lawnmower rotates at a speed of 50 revolutions per second.
Which of the following is the angular speed of the blade in rads sβ1?
(1)
A uniform paving slab is to be used as a garden step.
State what is meant by the centre of gravity of an extended body.
(1)
Show that the shunt would need to have a resistance of about 0.01 β¦ to adapt this ammeter to read up to a maximum current of 2.0 A.
(3)
A shunt of this resistance was usually made from Manganin wire.
Calculate the length of Manganin wire of radius 0.95 mm required to make this shunt.
(3)
The photograph shows a model racing car set. The curved parts of the track are semicircular. The car makes electrical contact with the track using metal brushes underneath the car.
There is a maximum speed for the car to stay on the curved part of the track. Explain why the car will slip off the curved part of the track if the car exceeds the maximum speed.
(3)
The following measurements are made for a car starting at rest on a straight piece of track.
distance travelled = 1.2 m
time taken = 0.77 s
Show that the final velocity of the car is about 3 m sβ1.
Assume the acceleration is constant.
(2)
The final velocity calculated in (b)(i) is the maximum velocity before the car slips off the track.
Calculate the maximum horizontal force between the curved part of the track and the car.
mass of car = 0.050 kg
radius of curved part of track = 0.042 m
(2)
The cars are controlled separately and so can be raced, with one car on the inner lane and the other on the outer lane. The cars are identical. Each car is raced at its highest speed for that lane.
Explain why the outcome of the race is difficult to predict.
(3)
The diagram shows a model used to demonstrate alpha particle scattering. A ball bearing is set rolling on a wooden track. The track is positioned so that the ball bearing rolls onto a metal sheet with a curved surface known as a Κ»hillΚΌ.
The diagram shows a vertical cross-section through the hill. The surface is curved so that the height of a point h on the curved surface is inversely proportional to the distance r from the centre of the hill.
Explain why the hill is suitable as a model for the electric field surrounding the nucleus of an atom.
(3)
A plan view of the arrangement is shown.
The wooden track is moved to different positions and the ball bearing is released.
Describe the results of the alpha particle scattering experiment and how these can be demonstrated by moving the wooden track to different positions.
(4)
The properties of capacitors make them useful in timing circuits.
The following circuit is used to provide an input Y to an integrated circuit.
Initially the capacitor is uncharged. The switch S1 is closed. Sketch a graph to show how the potential at point Y varies with time.
(3)
When the potential at Y is 8.0 V, the switch S2 is closed.
Calculate the time taken for the potential at Y to decrease to 2.0 V.
(3)
Calculate the energy stored on the capacitor when the potential at Y is 2.0 V.
(2)
When the potential at Y is 2.0 V, the switch S2 is opened. Calculate the power dissipated by the resistance R1 when the potential at Y is 2.0 V.
(3)
Scientists have been studying a type of jumping spider that can jump up to six times its body length.
The scientists photographed a spider at 0.02s intervals, during a jump. The picture is taken from the photograph and is shown actual size.
Deduce whether the images show that the motion in the x-direction is independent of the motion in the y-direction. You should take measurements using the cross marking the centre of gravity of the spider.
(4)
Show that the initial velocity of the spider at the start of the jump is about 1 m sβ1. You should take measurements using the cross marking the centre of gravity of the spider.
(5)
The spider achieves this jump by extending its two back legs by 3.0 mm.
Calculate the average force the spider exerts in each leg to achieve the jump.
mass of spider = 150 mg
(3)
Just as the spider starts the jump, it fixes a silk thread to the platform. It is thought that the thread acts as a safety line in case the spider falls.
A student makes the comment:
Κ»If the silk thread can withstand a tension equal to the weight of the spider then this safety system should work.ΚΌ
Deduce whether this statement is correct.
(2)
Hybrid electric vehicles (HEV) use the same device both as a generator to charge the car battery and as an electric motor to support the propulsion system. A simplified diagram of the device is shown. The coil can rotate freely around the axis.
*(a) Describe how the device can be used as both a generator and an electric motor.
(6)
The circuit diagram shows a car battery connected to an electric motor for a HEV. The battery has an electromotive force (e.m.f.) 180 V and internal resistance 0.036 β¦.
The motor has a maximum power of 88 kW.
Show that the current I drawn by the electric motor when operating at this power would be given by the equation
(3)
Solving the equation above produces an answer of I = 550 A. At maximum power, the car can accelerate from rest to sixty miles per hour in under 7 s.
The maximum charge capacity of the battery within this HEV is 6.1 amp-hour.
Deduce whether the battery could maintain this current for up to 7 s.
(2)
A negatively charged pion decays into a muon and an antineutrino. The diagram shows tracks in a particle detector formed in such an event.
Deduce whether the antineutrino is charged, giving two reasons for your decision.
(2)
Write a particle equation to represent this decay.
(1)
According to the standard model, the pion and muon are classified within two different groups of particles.
State which group each particle belongs to and describe the two groups.
(4)
The momentum of the pion just before it decays is 9.1 Γ 10β20N s.
Determine the magnetic flux density of the magnetic field which acts in the detector and state its direction.
Scale of diagram 1 cm represents 10 cm
(4)
Use a vector diagram to determine the momentum of the antineutrino.
The initial momentum of the muon is 1.59 Γ 10β19N s.
(5)
The paper as printed
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