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INNOVA JUNIOR COLLEGE JC 2 PRELIMINARY EXAMINATION 2 in preparation for General Certificate of Education Advanced Level

Higher 2

CANDIDATE NAME

CLASS INDEX NUMBER

PHYSICS Paper 1 Multiple Choice Additional Materials: Multiple Choice Answer Sheet

9646/01

21 September 2015

1 hour 15 minutes

READ THESE INSTRUCTIONS FIRST

Write in soft pencil.

Do not use staples, paper clips, highlighters, glue or correction fluid.

Write your name, civics group and index number on the Answer sheet in the spaces

provided unless this has been done for you.

There are forty questions on this paper. Answer all questions. For each question there are

four possible answers A, B, C and D.

Choose the one you consider correct and record your choice in soft pencil on the separate

Answer Sheet.

Read the instructions on the Answer Sheet very carefully.

Each correct answer will score one mark. A mark will not be deducted for a wrong answer.

Any rough working should be done in this booklet.

The use of an approved scientific calculator is expected, where appropriate.

This document consists of 18 printed pages.

Innova Junior College [Turn over

© IJC 2015 9646/01/Prelim 2/15

2

Data speed of light in free space, c = 3.00 108 m s–1

permeability of free space, 0 = 4 10–7 H m–1

permittivity of free space, 0 = 8.85 10–12 F m–1

= (1/(36)) 10–9 F m–1

elementary charge, e = 1.60 10–19 C

the Planck constant, h = 6.63 10–34 J s

unified atomic mass constant, u = 1.66 10–27 kg

rest mass of electron, me = 9.11 10–31 kg

rest mass of proton, mp = 1.67 10–27 kg

molar gas constant, R = 8.31 J K–1 mol–1

the Avogadro constant, NA = 6.02 1023 mol–1

the Boltzmann constant, k = 1.38 10–23 J K–1

gravitational constant, G = 6.67 10–11 N m2 kg–2

acceleration of free fall, g = 9.81 m s–2

Formulae

uniformly accelerated motion, s = ut + 2

1at2

v2 = u2 + 2as

work done on/by a gas, W = pV

hydrostatic pressure, p = g h

gravitational potential, =

r

Gm

displacement of particle in s.h.m. x = xo sin t

velocity of particle in s.h.m., v = vo cost

= )( 22 xxo

mean kinetic energy of a molecule of an ideal gas E = 2

3 kT

resistors in series, R = R1 + R2 + …

resistors in parallel,

R

1 = ...

11

21

RR

electric potential, V =

r

Q

04

alternating current/voltage, x = xo sin t

transmission coefficient T = exp(2kd)

where k = 2

2 )(8

h

EUm

radioactive decay, x = x0 exp(–t)

decay constant, =

2

1

6930

t

.

3

© IJC 2015 9646/01/Prelim 2/15 [Turn Over

1 A student finds the density of a liquid by measuring its mass and its volume. The following is a summary of his measurements.

mass of empty beaker = (20 ± 1) g

mass of beaker + liquid = (70 ± 1) g

volume of liquid = (10.0 ± 0.6) cm-3 He correctly calculates the density of the liquid as 5.0 g cm-3. What is the uncertainty in this value?

A 0.4 g cm-3

B 0.5 g cm-3

C 0.6 g cm-3

D 2.6 g cm-3

2 Which statement using prefixes of the base unit metre (m) is not correct?

A 1 pm = 10-12 m

B 1 nm = 10-9 m

C 1 Mm = 106 m

D 1 Gm = 1012 m

3 An aeroplane flying in a straight line at a constant height of 500 m with a speed of 200 m s-1 drops an object. The object takes a time t to reach the ground and travels a horizontal distance d in doing so.

Ignoring air resistance, which one of the following gives the values of t and d?

t / s d / km

A 10 2

B 10 5

C 25 5

D 25 10

© IJC 2015 9646/01/Prelim 2/15

4

4 While watching the National Day Parade, David witnessed a parachutist jumped out of a plane. After some time, the parachutist pulled the cord to release his parachute. Applying what he had learnt from his recent Physics lesson, David tried to sketch the vertical acceleration – time graph of the parachutist. Which graph best represents the variation with time t, the vertical acceleration a during

the entire descent?

A B

C D

5 A ball falls vertically and bounces on the ground. The following statements are about the forces acting while the ball is in contact with the ground. Which statement is correct?

A The force that the ball exerts on the ground is always equal to the weight of the ball.

B The force that the ball exerts on the ground is always equal in magnitude and

opposite in direction to the force the ground exerts on the ball.

C The force that the ball exerts on the ground is always less than the weight of the

ball.

D The weight of the ball is always equal in magnitude and opposite in direction to the

force that the ground exerts on the ball.

5


6 A 4.0 kg block is pushed up a 36o incline by a force of magnitude F applied parallel to the incline. When F is 31 N, it is observed that the block moves up the incline with a

constant speed. Determine the magnitude of F that is required to lower the block down the incline at the same constant speed.

A 31 N B 17 N C 15 N D 13N

7 The diagrams show a metal cube suspended from a spring balance before and during immersion in water.

A reduction in the balance reading occurs as a consequence of the immersion. Which statement is correct?

A The balance reading will be further reduced if the cube is lowered further into the water.

B The balance reading during immersion corresponds to the upthrust of the water on the cube.

C The forces acting on the vertical sides of the cube contribute to the change in the balance reading.

D The gravitational pull on the cube is unchanged by the immersion.

© IJC 2015 9646/01/Prelim 2/15

6

8 A spanner is used to tighten a nut as shown.

A force F is applied at right-angles to the spanner at a distance of 0.25 m from the centre of the nut. When the nut is fully tightened, the applied force is 200 N. What is the resistive torque, in an anticlockwise direction, preventing further tightening?

A 8 N m B 42 N m C 50 N m D 1250 N m

9 A gas is enclosed inside a cylinder which is fitted with a frictionless piston.

Initially, the gas has a volume V1 and is in equilibrium with an external pressure p. The

gas is then heated slowly so that it expands, pushing the piston back until the volume of the gas has increased to V2.

How much work is done on the gas during this expansion?

A p(V2 – V1) B 2

1p(V2 – V1) C p(V1 – V2) D

2

1p(V1 – V2)

7


10 The diagram shows a wheel of circumference 0.30 m. A rope is fastened at one end to a force meter. The rope passes over the wheel and supports a freely hanging load of 100 N. The wheel is driven by an electric motor at a constant rate of 50 revolutions per second. When the wheel is turning at this rate, the force meter reads 20 N.

What is the output power of the motor?

A 0.3 kW B 1.2 kW C 1.8 kW D 3.8 kW

11 A street lamp is fixed to a wall by a metal rod and a cable.

Which vector triangle represents the forces acting at point P?

A B

C D

© IJC 2015 9646/01/Prelim 2/15

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12 Alvis is sitting in a train carriage facing the direction in which the train is travelling. A pendulum hangs down in front of him from the carriage roof. The train travels along a circular bend, bending to his left. Which of the following diagrams shows the position of the pendulum as seen by Alvin and the direction of the forces acting on the pendulum bob?

A B C D

13 Two stars of mass M and 2M, a distance 3x apart, rotate in circles about their common centre of mass O.

The gravitational force acting on the stars can be written as 2

2

kGM

x.

What is the value of k?

A 0.22 B 0.50 C 0.67 D 2.0

14 A satellite orbits a planet at a distance r from its centre. Its gravitational potential energy

is –3.2 MJ. Another identical satellite orbits the planet at a distance 2r from its centre.

What is the sum of the kinetic energy and the gravitational potential energy of this second satellite?

A –0.40 MJ

B –0.80 MJ

C –1.6 MJ

D –6.4 MJ

9


15 The graph shows the variation of acceleration a with displacement x for an object undergoing simple harmonic motion.

The simple harmonic motion system is altered so that it has a period of oscillation twice that of before. Which line could be produced?

16 As the intensity of a single frequency sound wave travelling through the air is increased, how do the maximum speed of vibration of the air molecules and the speed of wave travel change?

maximum speed of vibration of air molecules

speed of wave travel

A increase increase

B increase no change

C no change increase

D no change no change

© IJC 2015 9646/01/Prelim 2/15

10

17 A car tyre, initially at o30 C , has been inflated to a pressure of 150 kPa as indicated by

the pressure gauge. This means that the pressure in the tyre is 150 kPa above atmospheric pressure of 100 kPa.

After driving on hot roads, the temperature of the air in the tyre is o60 C .

What is the percentage increase in the pressure gauge reading?

A 9.88% B 16.5% C 200% D 267%

18 An ideal gas is held in a constant volume container with a valve through which gas can escape. Starting at 250 K, the temperature of the gas is raised by 750 K, while its pressure in the container is allowed to triple. What fraction of the original number of gas molecules escape through the valve?

A 0 B 0.25 C 0.75 D 1.0

19 A light wave of amplitude A is incident normally on a surface of area S. The power per unit area reaching the surface is P.

The amplitude of the light wave is increased to 2A. The light is then focussed on to a

smaller area 3

S.

What is the power per unit area on this smaller area?

A 6 P

B 12 P

C 18 P

D 36 P

11


20 A stationary wave on a stretched string is set up between two points P and T.

Which statement about the wave is correct?

A Point R is a node.

B Point Q and S vibrate in phase.

C The distance between P and T is three wavelengths.

D The wave shown has the lowest possible frequency.

21 The basic principle of note production in a horn is to set up a stationary wave in an air column.

For any note produced by the horn, a node is formed at the mouthpiece and an antinode is formed at the bell. The frequency of the lowest note is 75 Hz. What are the frequencies of the next two higher notes for this air column?

first higher note / Hz second higher note / Hz

A 113 150

B 150 225

C 150 300

D 225 375

22 A parallel beam of white light passes through a diffraction grating. Orange light of wavelength 600 nm in the fourth order diffraction maximum coincides with blue light in the fifth order diffraction maximum. What is the wavelength of the blue light?

A 450 nm B 480 nm C 500 nm D 750 nm

© IJC 2015 9646/01/Prelim 2/15

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23 The diagram shows two points P and Q which lie 90° apart on a circle of radius r. A positive point charge at the centre of the circle creates an electric field of magnitude E

at point P and Q.

Which expression gives the work done in moving a unit positive charge from P to Q?

A 0

B E × r

C E × (½πr)

D E × (πr)

24 Two oppositely-charged horizontal metal plates are placed in a vacuum. A positively-charged particle starts from rest and moves from one plate to the other plate, as shown

Which graph shows how the kinetic energy EK of the particle varies with the distance x moved from the positive plate?

A B C D

13


25 The belt in an electrostatic machine has width w and travels with velocity v. The amount

of charge per unit area on the surface of the belt is . As the belt passes a certain point, all the charge is removed and carried away as an electric current. Which of the following expressions gives the magnitude of this current?

A wv B wv2 C

w

v

D

v

w

26 A battery of e.m.f E and internal resistance r is connected to a variable resistor R as shown below. When R = 16 Ω, the current in the circuit is 0.50 A. It is found that the

battery supplies 4500 J of energy for a duration of 1.0 x 103 s.

What is the internal resistance r?

A 1.0 Ω B 2.0 Ω C 4.5 Ω D 9.0 Ω

27 When a battery is connected to a resistor, the battery gradually becomes warm. This causes the internal resistance of the battery to increase whilst its e.m.f. stays unchanged. As the internal resistance of the battery increases, how do the terminal potential difference and the output power change, if at all?

terminal potential

difference output power

A decrease decrease

B decrease unchanged

C unchanged decrease

D unchanged unchanged

r E

R

© IJC 2015 9646/01/Prelim 2/15

14

28 In the circuit shown, all the resistors are identical and all the ammeters have negligible resistance.

The reading on ammeter A1 is 0.6 A. What are the readings on the other ammeters?

reading on ammeter A2 / A



A 1.0 0.3 0.1

B 1.4 0.6 0.2

C 1.8 0.9 0.3

D 2.2 1.2 0.4

29 A beam of electrons is directed into an electric field and is deflected by it. Diagram 1 represents an electric field in the plane of the paper. Diagram 2 represents an electric field directed perpendicular to the plane of the paper. The lines A, B, C and D represent possible paths of the electron beam. All paths are in the plane of the paper. Which line best represents the path of the electrons inside the field?

15


30 A solenoid is connected in series with a battery and a switch as shown. A light, copper ring is held near to the solenoid and coaxial with it. What will happen to the copper ring immediately after the switch is closed?

A The ring remains stationary.

B The ring swings directly away from the solenoid.

C The ring swings directly towards the solenoid.

D The ring rotates about its vertical axis.

31 A soft-iron ring of variable cross-section has four coils wound round it at the positions shown. The coils have 2, 3, 3 and 4 turns. The 3-turn coil is connected to an a.c. supply. In which coil does the magnitude of the magnetic flux density have the largest variation?

copper ring solenoid

© IJC 2015 9646/01/Prelim 2/15

16

32 In the potentiometer setup below, the driver cell and the secondary cell are identical, with an e.m.f. of E and internal resistance r. The fixed resistor in the secondary circuit has a resistance R.

Which of the following graphs shows the variation of the balance length when fixed resistors of different values of resistance R is connected?

A B

C D

33 A 100 resistor conducts a current with changing direction and magnitude, as shown.

What is the mean power dissipated in the resistor?

A 100 W B 150 W C 250 W D 450 W

time / s

current / A

17


34 A generator produces a r.m.s current of 60 A at a r.m.s voltage of 120 V. The r.m.s voltage is stepped up to 4500 V by an ideal transformer and transmitted through a power line of total resistance 1.0 Ω. What is the percentage of power lost in the transmission line?

A 0.012 % B 0.036 % C 0.048 % D 0.060 %

35 An electron with kinetic energy E has a de Broglie wavelength of . Which of the

following graphs correctly represents the relationship between and E?

A B C D

36 Some of the energy levels of the hydrogen atom are shown below.

Electrons are excited to the 0.85 eV level. How many difference photon frequencies in the visible region will be observed in the emission spectrum of hydrogen?

A 1 B 2 C 3 D 6

37 Which of the following statements about lasers is incorrect?

A Excitation of the active medium in a laser can be achieved by absorption of light called optical pumping.

B Laser action cannot take place unless an inverted population of atoms is obtained in the active medium.

C Pumping results in electrons excited from so-called metastable states to higher energy states.

D Stimulated emission of radiation occurs when the frequency of the incident photon equals the resonant frequency of the transition between energy levels.

© IJC 2015 9646/01/Prelim 2/15

18

38 In the circuit involving a P-N junction below, holes migrate from

A X to Y through the cell.

B Y to X through the cell.

C P to N through the PN junction.

D N to P through the PN junction.

39 A 238

92Unucleus decays in two stages to a 234

91Pa nucleus.

What was emitted in these two stages?

A + B + C + D +

40 The tritium content of water from certain deep wells is only 25% of that in the water from recent rains. The half-life of tritium is 12.3 years. How long has it been since the water in the well came down as rain?

A 3.1 yrs B 6.2 yrs C 24.6 yrs D 36.9 yrs


Higher 2

CANDIDATE NAME

CLASS INDEX NUMBER

PHYSICS Paper 1 Multiple Choice Additional Materials: Multiple Choice Answer Sheet

9646/01

21 September 2015

1 hour 15 minutes


Write in soft pencil.

Do not use staples, paper clips, highlighters, glue or correction fluid.

Write your name, civics group and index number on the Answer sheet in the spaces

provided unless this has been done for you.

There are forty questions on this paper. Answer all questions. For each question there are

four possible answers A, B, C and D.

Choose the one you consider correct and record your choice in soft pencil on the separate

Answer Sheet.

Read the instructions on the Answer Sheet very carefully.

Each correct answer will score one mark. A mark will not be deducted for a wrong answer.

Any rough working should be done in this booklet.

The use of an approved scientific calculator is expected, where appropriate.



© IJC 2015 9646/01/Prelim 2/15

2

Data speed of light in free space, c = 3.00 108 m s–1

permeability of free space, 0 = 4 10–7 H m–1

permittivity of free space, 0 = 8.85 10–12 F m–1

= (1/(36)) 10–9 F m–1

elementary charge, e = 1.60 10–19 C

the Planck constant, h = 6.63 10–34 J s

unified atomic mass constant, u = 1.66 10–27 kg

rest mass of electron, me = 9.11 10–31 kg

rest mass of proton, mp = 1.67 10–27 kg

molar gas constant, R = 8.31 J K–1 mol–1

the Avogadro constant, NA = 6.02 1023 mol–1

the Boltzmann constant, k = 1.38 10–23 J K–1

gravitational constant, G = 6.67 10–11 N m2 kg–2

acceleration of free fall, g = 9.81 m s–2

Formulae

uniformly accelerated motion, s = ut + 2

1at2

v2 = u2 + 2as


hydrostatic pressure, p = g h

gravitational potential, =

r

Gm

displacement of particle in s.h.m. x = xo sin t

velocity of particle in s.h.m., v = vo cost

= )( 22 xxo

mean kinetic energy of a molecule of an ideal gas E = 2

3 kT


resistors in parallel,

R

1 = ...

11

21

RR

electric potential, V =

r

Q

04

alternating current/voltage, x = xo sin t

transmission coefficient T = exp(2kd)

where k = 2

2 )(8

h

EUm

radioactive decay, x = x0 exp(–t)

decay constant, =

2

1

6930

t

.

3


1 A student finds the density of a liquid by measuring its mass and its volume. The following is a summary of his measurements.

mass of empty beaker = (20 ± 1) g

mass of beaker + liquid = (70 ± 1) g

volume of liquid = (10.0 ± 0.6) cm-3 He correctly calculates the density of the liquid as 5.0 g cm-3. What is the uncertainty in this value?

A 0.4 g cm-3

B 0.5 g cm-3

C 0.6 g cm-3

D 2.6 g cm-3

2 Which statement using prefixes of the base unit metre (m) is not correct?

A 1 pm = 10-12 m

B 1 nm = 10-9 m

C 1 Mm = 106 m

D 1 Gm = 1012 m

3 An aeroplane flying in a straight line at a constant height of 500 m with a speed of 200 m s-1 drops an object. The object takes a time t to reach the ground and travels a horizontal distance d in doing so.

Ignoring air resistance, which one of the following gives the values of t and d?

t / s d / km

A 10 2

B 10 5

C 25 5

D 25 10

© IJC 2015 9646/01/Prelim 2/15

4

4 While watching the National Day Parade, David witnessed a parachutist jump out of a plane. After some time, the parachutist pulled the cord to release his parachute. Applying what he had learnt from his recent Physics lesson, David tried to sketch the vertical acceleration – time graph of the parachutist. Which graph best represents the variation with time t, the vertical acceleration a during

the entire descent?

A B

C D

5 A ball falls vertically and bounces on the ground. The following statements are about the forces acting while the ball is in contact with the ground. Which statement is correct?

A The force that the ball exerts on the ground is always equal to the weight of the ball.

B The force that the ball exerts on the ground is always equal in magnitude and

opposite in direction to the force the ground exerts on the ball.

C The force that the ball exerts on the ground is always less than the weight of the

ball.

D The weight of the ball is always equal in magnitude and opposite in direction to the

force that the ground exerts on the ball.