PHYSICS 9702/04 - CIE Notes

Centre Number

Candidate Number

Name

CAMBRIDGE INTERNATIONAL EXAMINATIONS

General Certificate of Education Advanced Level

9702/04

PHYSICS

Paper 4

May/June 2003

1 hour

Candidates answer on the Question Paper.

No Additional Materials are required.

READ THESE INSTRUCTIONS FIRST

Write your Centre number, candidate number and name on all the work you hand in.

Write in dark blue or black pen in the spaces provided on the Question Paper.

You may use a soft pencil for any diagrams, graphs or rough working.

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

Answer all questions.

The number of marks is given in brackets [ ] at the end of each question or part question.

You may lose marks if you do not show your working or if you do not use appropriate units.

For Examiner¡¯s Use

1

2

If you have been given a label, look at the

details. If any details are incorrect or

missing, please fill in your correct details

in the space given at the top of this page.

Stick your personal label here, if

provided.

3

4

5

6

Total

This document consists of 15 printed pages and 1 blank page.

SJF2603/CG S46432/2

? CIE 2003

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2

Data

speed of light in free space,

c = 3.00 ¡Á 10 8 m s ¨C1

permeability of free space,

?0 = 4? ¡Á 10 ¨C7 H m¨C1

permittivity of free space,

?0 = 8.85 ¡Á 10 ¨C12 F m¨C1

elementary charge,

e = 1.60 ¡Á 10 ¨C19 C

the Planck constant,

h = 6.63 ¡Á 10 ¨C34 J s

unified atomic mass constant,

u = 1.66 ¡Á 10 ¨C27 kg

rest mass of electron,

me = 9.11 ¡Á 10 ¨C31 kg

rest mass of proton,

mp = 1.67 ¡Á 10 ¨C27 kg

molar gas constant,

the Avogadro constant,

R = 8.31 J K ¨C1 mol ¨C1

NA = 6.02 ¡Á 10 23 mol ¨C1

the Boltzmann constant,

k = 1.38 ¡Á 10 ¨C23 J K ¨C1

gravitational constant,

G = 6.67 ¡Á 10 ¨C11 N m 2 kg ¨C2

acceleration of free fall,

g = 9.81 m s ¨C2

9702/4/M/J03

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Formulae

uniformly accelerated motion,

s = ut +
 at 2

v 2 = u 2 + 2as

work done on/by a gas,

W = p?V

gravitational potential,

¦Õ = ¨C Gm

simple harmonic motion,

a = ¨C
2x

velocity of particle in s.h.m.,

v = v0 cos
t

v = ¡À
¡Ì(x 20 ¨C x 2)

resistors in series,

R = R1 + R2 + . . .

r

resistors in parallel,

1/R = 1/R1 + 1/R2 + . . .

electric potential,

Q

4??0r

V=

capacitors in series,

1/C = 1/C1 + 1/C2 + . . .

capacitors in parallel,

C = C1 + C2 + . . .

energy of charged capacitor,

W=


 QV

alternating current/voltage,

x = x0 sin
t

hydrostatic pressure,

p = qgh

pressure of an ideal gas,

p=

radioactive decay,

x = x0 exp(¨C t )

decay constant,

 = 0.693




Nm 2

V

t


3H02

critical density of matter in the Universe,

q0 =

equation of continuity,

Av = constant

Bernoulli equation (simplified),

Stokes¡¯ law,

Reynolds¡¯ number,

drag force in turbulent flow,

8?G

p1 +
 qv12 = p2 +
 qv22

F = Ar ?v

Re =

qv r

?

F = Br 2qv 2

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4

Answer all the questions in the spaces provided.

1

(a) Define gravitational potential.

..........................................................................................................................................

..................................................................................................................................... [2]

(b) Explain why values of gravitational potential near to an isolated mass are all negative.

..........................................................................................................................................

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..................................................................................................................................... [3]

(c) The Earth may be assumed to be an isolated sphere of radius 6.4 ¡Á 103 km with its mass

of 6.0 ¡Á 1024 kg concentrated at its centre. An object is projected vertically from the

surface of the Earth so that it reaches an altitude of 1.3 ¡Á 104 km.

Calculate, for this object,

(i)

the change in gravitational potential,

change in potential = ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­. J kg¨C1

(ii)

the speed of projection from the Earth¡¯s surface, assuming air resistance is

negligible.

speed = ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­. m s¨C1

[5]

9702/4/M/J03

For

Examiner¡¯s

Use

For

Examiner¡¯s

Use

5

(d) Suggest why the equation

v 2 = u 2 + 2as

is not appropriate for the calculation in (c)(ii).

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..................................................................................................................................... [1]

9702/4/M/J03

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