The following are five properties of an object.

Which one of these properties is a vector quantity?

mass

potential energy

angular momentum

density

moment of inertia

A particle of weight 5 N is held in position by two light ropes. One of the ropes makes an angle of 60° with the upward vertical, the other is horizontal. What is the tension in the horizontal rope?

1.25√3 ​N

5 ​N

5√3 ​N

10 ​N

10√3 ​N

Which one of these properties can be expressed in N s² m^-4 ?

mass

volume

weight

density

surface area

A metal cube has density 8 g cm^-3 and mass 216 g. What is the length of one side of the cube?

2 cm

3 cm

8 cm

24 cm

27 cm

A boy of mass 40 kg balances evenly on two stilts, each having an area of 8 cm² in contact with the ground. What is the pressure exerted on the ground by one stilt? (Take g = 10 m s^-2.)

50 N cm^-2

40 N cm^-2

25 N cm^-2

5 N cm^-2

2.5 N cm^-2

A ship is sailing slowly due east and a passenger is on the deck at point P. In the diagram, points A, B, C, D and E are marked on the deck. 

Towards which of these points should the passenger walk at a suitable speed in order to move due north?

A

B

C

D

E

A car's tyres are inflated so that an area of 50 cm² of each tyre is in contact with the ground. If the mass of the car is 1600 kg and it is evenly distributed between the four tyres, what is the pressure the road exerts on each tyre? (Take g = 10 m s^-2.)

8 N cm^-2

32 N cm^-2

80 N cm^-2

160 N cm^-2

320 N cm^-2

An electric heater is rated 250 V, 1000 W. If electricity costs 7p per kWh what is the cost of running the heater for 5 hours?

3.5p

7p

17.5p

35p

70p

Similar cells, ammeters and resistors are used in the circuit shown.

The cells and ammeters have negligible resistance. When one cell is connected in series with one ammeter and one resistor, the ammeter reading is 0.1 A.

What is the value of the current through ammeter A₁ in the circuit shown in the diagram?

0.1 A

0.2 A

0.3 A

0.4 A

0.5 A

In the circuit of Question 9, what is the value of the current passing through ammeter A₂?

0.1 A

0.2 A

0.3 A

0.4 A

0.5 A

A student sits on a freely rotating stool holding two dumbbells. Initially, the student and stool rotate at an angular speed of 2.0 rad s⁻¹ with a total moment of inertia of 6.0 kg m². The student then pulls the dumbbells inward, reducing the total moment of inertia to 2.4 kg m².
Assuming negligible external torque, what is the student's new rotational kinetic energy equal to?

30 J

40J

50 J

60 J

70 J

Two ideal springs (of spring constant k = 1.0 N cm^-1) are suspended vertically and in parallel (next to each other). If a load of 200 g is attached to their common end so that each spring stretches by the same amount, what is the stretch equal to ? (take g = 10 m s^-2).

0.5 cm

1 cm

2 cm

4 cm

8 cm

Two radioactive sources X and Y have half-lives of 4.8 hours and 8.0 hours respectively. Both decay directly to form only stable isotopes. The activity of a sample of the source X is 320 Bq, and the activity of a sample of the source Y is 480 Bq. The two samples are now combined.

What is the activity of the combination of X and Y 24 hours later?

25 Bq

50 Bq

55 Bq

70 Bq

85 Bq 

What is a particle with a mass of approximately 1 atomic mass unit and a charge of +1 called?

an electron

a gamma particle

a positron

a proton

an alpha particle

The sketch shows the masses and positions of two moons relative to a planet X.

The gravitational force between 4m and X is F₁. The gravitational force between m and X is F₂. Which one is the correct relationship between the two forces? 

F₁ = F₂

F₁ = 2F₂

F₂ = 2F₁

F₂ = 4F₁

F₁ = 4F₂

In the qualifying lap for a motor racing Grand Prix, one driver completes the 1.8 km circuit in 40 seconds. The driver's average speed for the lap is:

0.0045 ms^-1

22 ms^-1

40 ms^-1

45 ms^-1

72 ms^-1

A pulse of frequency 100 kHz is emitted from an ultrasound scanner, and is reflected from a foetus 30 cm below the transmitter placed on the mother’s abdomen. The speed of sound within the mother’s body is 1500 m s^-1.
How long after its emission from the scanner does it take for the pulse to reach the receiver which is adjacent to the transmitter?

0.2 ms

0.3 ms

0.4 ms

0.5 ms

0.6 ms

The velocity versus time graph below represents the motion of an object acted on by a constant force.

Which option shows the correct values for the instantaneous speed after 3 seconds, and the average speed over the first 3 seconds of the motion?

A

B

C

D

E

A motorcycle of mass 250 kg accelerates from rest to a speed of 30 m s^-1 in 6 seconds.

The total force opposing this motion is 1500 N. The thrust produced by the motorcycle's engine is:

250 N

1250 N

1500 N

2750 N

3000 N

Two trolleys move towards each other along a straight, horizontal air track and collide head-on. Take the direction to the right as positive. Before the collision, a trolley of mass 1.0 kg moves to the right at 2.0 m s^-1, and a trolley of mass 0.8 kg moves to the left at 3.0 m s^-1. After the collision, the 1.0 kg trolley moves back to the left at 0.5 m s^-1. What is the velocity of the 0.8 kg trolley after the collision?

0.125 m s^-1 to the left

0.125 m s^-1 to the right

0.5 m s^-1 to the left

0.5 m s^-1 to the right

5.375 m s^-1 to the right

Which one of the following statements about nuclear physics is true?

The process of emission of a gamma ray from a nucleus is called nuclear fission.

The half-life of a radioactive substance is half the time taken for its nuclei to decay.

The number of neutrons in a nucleus is its atomic number (proton number) minus its mass number.

When a nucleus emits a beta particle, there is no change in the number of particles it contains.

When a nucleus emits an alpha particle, one of its neutrons becomes a proton plus an electron.

A constant current of 50 μA is used to charge a capacitor for 3 minutes. The potential difference across the capacitor at the end of this time is 6 V. The capacitance of the capacitor is:

25 μF

47 μF

100 μF

555 μF

1500 μF

A heavy block of stone rests on a rough, horizontal surface. The block is subject to a horizontal force that increases from zero at a constant rate. Assume that the coefficient of friction is greater than zero and that its value is independent of whether or not the block is moving.
What happens to the block of stone? (Assume air resistance is negligible.)

It moves forwards immediately and accelerates forwards with a constant acceleration.

It remains stationary at first and then accelerates forwards with a constant acceleration.

It remains stationary at first and then accelerates forwards with an increasing acceleration.

It moves forwards immediately with a constant velocity.

It remains stationary at first and then moves forwards with a constant velocity.

A ray of monochromatic light passes from a parallel-sided glass block into air through the top surface. The angles between the ray and the surface are shown in the diagram.

The refractive index of the glass is equal to:

0.54

0.68

1.53

1.71

1.86

Photons of light resulting from the transition labelled B have a frequency:

(You may assume Planck's constant h = 6.63 x 10^-34 J s)

equal to 8.17 x 10^-14 Hz

lower than those resulting from transitions A and C

equal to 6.12 x 10¹⁴ Hz

higher than that from transition C, but lower than that for transition A

equal to 5.42 x 10^-19 Hz

The gravitational potential difference between a point at the surface of a certain planet and a point 10 m above that surface is 4.0 J kg^-1. Assuming the gravitational field is uniform, the work done in moving a mass of 2.0 kg from the surface to a point 5.0 m above the surface is equal to:

0.16 J

1.0 J

2.0 J

4.0 J

16 J

Two long parallel wires X and Y carry currents of 3 A and 5 A, respectively. The force experienced per unit length by X is 5x10-5 N to the right, as shown in the diagram.

The force per unit length experienced by wire Y is:

2x10^-5 N to the left.

3x10^-5 N to the right.

3x10^-5 N to the left.

5x10^-5 N to the right.

5x10^-5 N to the left.

Monochromatic light of wavelength 600 nm is used in a spectrometer to illuminate a diffraction grating set normally to the collimator. The grating has 3x10⁵ lines per metre. The telescope is used to scan the field to one side of the straight-through position. Not counting the 'straight-through' image, the maximum number of diffracted images of the slit visible to the observer will be:

2

5

8

10

11

A ball is dropped from a height of 16 m on to a horizontal surface, and on each bounce loses 50% of its kinetic energy.

After which bounce will the maximum height of the rebound fall to less than 160 cm for the first time?

(Assume air resistance is negligible, and the only external force acting on the ball while not in contact with the surface is gravity.)

4^th

5^th

6^th

7^th

8^th

An ideal gas is heated at constant volume until its pressure doubles. Which one of the following statements is correct?

The mean speed of the molecules doubles.

The number of molecules doubles.

The mean square speed of the molecules doubles.

The number of molecules per unit volume doubles.

The root mean square speed of the molecules doubles.