2

1 Which of the following is NOT a scalar quantity?

A Work

B Energy

C Force

D Inertia

2 The momentum of an object of mass m is p. Which quantity has the same base units as m

p2

?

A Energy

B Force

C Power

D Velocity

3 Which of the following statements is false?

A A dimensionally consistent equation is a physically correct equation.

B The principle of homogeneity of units of an equation cannot determine the value of a

unitless or dimensionless constant in the equation.

C For an equation to be physically correct, it must have dimensional consistency.

D The principle of homogeneity of an equation cannot discriminate between two quantities

having the same units (e.g. length of pendulum string, radius of pendulum bob).

4 A thermometer can be read to an accuracy of ±0.5 °C. This thermometer is used to measure a

temperature rise from 40 °C to 100 °C. What is the percentage uncertainty in the

measurement of the temperature rise?

A 0.5 %

B 0.8 %

C 1.3 %

D 1.7%

3

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5 Which of the following is the best estimate, to one significant digit, of the quantity shown

below?

9.15

1.8×π

A 1.5

B 2.0

C 5.8

D 6.0

6 The wall thickness of a cylindrical glass tube is determined by measuring its external and

internal diameters with vernier calipers. If the readings obtained are (25.45 ± 0.01) cm and

(22.35 ± 0.01) cm respectively, the wall thickness of the glass tubing is

A 3.10 ± 0.02 cm

B 1.55 ± 0.02 cm

C 3.10 ± 0.01 cm

D 1.55 ± 0.01 cm

4

7 A student moves between two points P and Q as shown below.

The displacement from P in the x-direction is dx. The displacement from P in the y-direction

is dy. The resultant displacement from P is dR.

Which of the following diagrams shows the three displacements from point P?

A B

C D

8 A small car of mass 800 kg, is being driven in foggy condition. In this situation the

maximum deceleration of the car is 7.5 m s-2. While driving at the constant speed of 21 m s-1,

the driver sees a stationary car 30 m ahead and takes 0.40 s to react. Determine the speed at

which the car will hit the stationary car.

A 3.0 m s-1

B 5.2 m s-1

C 10.8 m s-1

D 12.3 m s-1

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9 An object is projected vertically upwards. Assuming air resistance is negligible, the

acceleration of the object from the time it is projected until it returns to the ground can be

correctly illustrated by the graph

A B

C D

10 A projectile of mass, m, is fired with a velocity, v = 2u from point P.

Ignoring air resistance, find the change in the magnitude of momentum from point P to point

Q.

A 0

B ½ mu

C 2√2 mu

D 2 mu

g

0

a/m s-2

t/s

a/m s-2

g

t/s

g

0

-g

a/m s-2

t/s 0

-g

a/m s-2

t/s

6

11 Which statement is correct with reference to elastic collisions between two bodies?

A neither total momentum nor total kinetic energy need to be conserved but total energy

must be conserved

B total momentum, total kinetic energy and total energy must be conserved

C total kinetic energy and total energy are both conserved but total momentum is conserved

only if the two bodies have equal masses

D total momentum and total energy are conserved but total kinetic energy may be changed

into some other form of energy

12

An engine of mass M2 is pulling a truck of mass M1, the acceleration of the system being a.

The engine exerts a tractive force F and the truck and the engine are both subjected to

effective resistances R1 and R2 respectively. The tension in the coupling between the engine

and truck is T. Which of the following equations is incorrect?

A F – T – R2 = M2a

B T – R1 = M1a

C F – R1 – R2 = (M1 + M2)a

D F = (M1 + M2)a

13 A crane has a maximum safe working load of 1200 kg and is used to lift a concrete block of

mass 1000 kg. What is the maximum safe upward acceleration of the block whilst being

lifted?

A 0.19 ms-2

B 0.85 ms-2

C 1.52 ms-2

D 1.96 ms-2

a

M1 M2

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14 In demonstrating a dance step, a person moves in one dimension as shown in graph below.

What is the average velocity between time, t = 4 s and t = 8 s.

A 0.50 m s-1 B 0.67 m s-1 C 1.50 m s-1 D 2.00 m s-1

15

The graph above shows the variation of force, F acting on a body with time, t. The change in

momentum of the body during this 4 s period is

A 5.0 N s B 7.5 N s C 15.0 N s D 20.0 N s

0

-2

Time t /s 2 4 6 8 10

2 -

4 -

Position/m

0 1 2 3 4

5 -

F/N

t/s

8

16 What is the internal energy of a system?

A the amount of heat supplied to the system

B the random energy of the atoms of the system

C the total kinetic energy of the system

D the total potential energy of the system

17 The diagram shows a barrel of weight 5.0 × 103 N on a frictionless slope inclined at 30

o to

the horizontal. A force is applied to the barrel to move it up the slope at constant speed. The

force is parallel to the slope.

What is the work done, in J, in moving the barrel a distance of 4.0 m up the slope?

A 3.0 × 103

B 8.6 × 103

C 1.0 × 104

D 2.0 × 104

18 A body travelling with a speed of 10 m s–1

has kinetic energy Ek.

If the speed of the body is increased to 40 m s–1

, what is its new kinetic energy?

A 4Ek B 8Ek C 12Ek D 16Ek

Force of

slope on

barrel

Force

5.0 x 10 3 N

slope 30

o

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19 A car travelling on a level road at a steady 10 m s-1

against a constant resistive force develops

a power of 40 kW.

What is the magnitude of the resistive force?

A 100 N B 2000 N C 4000 N D 400 k N

20 A turbine at a hydroelectric power station is situated 30 m below the level of the surface of a

large lake. The water passes through the turbine at a rate of 300 m3 per minute.

The overall efficiency of the turbine and generator system is 90%.

What is the output power of the power station? (The density of water is 1000 kg m–3

.)

A 0.15 MW B 1.5 MW C 1.7 MW D 90 MW

21 Four materials are formed into rods of the same dimensions.

At room temperature, which can sustain the largest plastic deformation?

A the ductile material aluminium

B the brittle material carbon

C the brittle material glass

D the ductile material steel

22 The Mariana Trench in the Pacific Ocean has a depth of about 10 km.

Assuming that sea water is incompressible and has a density of about 1020 kg m–3

, what

would be the approximate pressure at that depth?

A 105 Pa

B 107

Pa

C 108

Pa

D 1013

Pa

10

23 Gold has a density of 19.3 g cm–3

.

The volume occupied by a single atom of gold may be considered to be a cube with sides of

length 2.6 × 10–8

cm.

What is the mass of a gold atom?

A 3.4 × 10–25

g

B 3.4 × 10–22

g

C 1.3 × 10–17 g

D 1.3 × 10–14

g

24 Two steel wires P and Q have lengths L and 2L respectively, and cross-sectional areas A and

2A respectively. Both wires obey Hooke’s law.

What is the ratio tension in Q

tension in P when both wires are stretched to the same extension?

A

B

C 1 D

25 What is the unit of the Young’s Modulus?

A N m-2

B N m C N m-1

D N m2

26 The diagram shows a sketch of a wave pattern, over a short period of time.

Which description of this wave is correct?

A The wave is longitudinal, has a wavelength of 20 cm and is stationary.

B The wave is transverse, has a wavelength of 10 cm and is stationary.

C The wave is transverse, has a wavelength of 10 cm and is progressive.

D The wave is transverse, has a wavelength of 20 cm and is stationary.

50 cm

11

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27 A diffraction grating with N lines per metre is used to deflect light of wavelength λ.

The diagram shows a relation between the order of interference pattern, n and the deflection

angles θ for a fixed value of λ and N.

What determines the amplitude of the graph?

A

N λ B λ C N/ λ D N

28 Which electromagnetic wave phenomenon is needed to explain the spectrum produced when

white light falls on a diffraction grating?

A coherence

B interference

C polarisation

D refraction

n

θ

12

29 The graph shows two waves.

Which statement is correct?

A The waves are incoherent and out phase.

B The waves are incoherent but in phase.

C The waves are coherent and in phase.

D The waves are coherent but out of phase.

30 The three waves shown in each diagram have the same amplitude and frequency but differ in

phase. They are added together to give a resultant wave.

Which diagram shows a resultant wave with the maximum amplitude?

Displacement

Time

A B

C D

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31 Two conducting layers of a liquid crystal display of a calculator are 8 µm apart. A 3.0 V cell

is connected across the conducting layers when the calculator is switched on/

What is the electric field strength between the layers?

A 2.7 × 10-6 V m-1

B 3.8 × 105 V m

-1

C 2.4 × 10-5 V m-1

D 0.38 V m-1

32 A positively - charged particle is projected into a uniform electric field.

Which diagram represents the path of the particle in the electric field?

14

33 A low – voltage supply with an e.m.f of 20 V and an internal resistance of 1.5 Ω is used to

supply power to a heater of resistance 8.5 Ω in a fish tank.

What is the power supplied to the water in the fish tank?

A 40 W

B 47 W

C 34 W

D 6 W

34 A copper wire is cylindrical and has a resistance of .

What will be the resistance of a copper wire of half the length and half the radius?

A

4 B

2 C D 2

35 The e.m.f. of the cell in the following circuit is 12.0 V. The reading on the high resistance

voltmeter is 7.5 V.

What is the current I?

A 0.6 B 0.8 C 0.5 D 0.3

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36 A 20 V d.c supply is connected to a circuit consisting of five resistors L, M, N, P and Q.

There is a potential drop of 7 V across L and a further 4 V potential drop across N.

What are the potential drops across M, P and Q?

Potential drop across M

/V

Potential drop across P

/V

Potential drop across Q

/V

A 9 7 13

B 13 7 13

C 13 11 9

D 17 3 17

37 Five resistors are connected as shown.

What is the total resistance between P and Q?

A 0.25 Ω B 0.61 Ω C 4.0 Ω D 16 Ω

16

38 In the circuit below, the reading VT on the voltmeter changes from high to low as the

temperature of the thermistor changes. The reading VL on the voltmeter changes from high to

low as the level of light on the light – dependent resistor (LDR) changes.

The readings VT and VL are both high.

What are the conditions of temperature and light level?

temperature light level

A low low

B low high

C high low

D high high

39 In what way do the atoms of the isotopes ,

and differ?

A Different numbers of electrons

B Different numbers of protons

C Different charge

D Different numbers of neutrons

17

40 A nucleus of the nuclide decays by emitting a beta particle. The nuclear equation

below represents this decay.

→ ℎ

+

Which pair of values of X and Y is correct?

X Y

A 224 87

B 224 89

C 228 88

D 228 90