Cambridge International Examinations Cambridge International Advanced ...

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Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level

PHYSICS Paper 4 A Level Structured Questions

Candidates answer on the Question Paper. No Additional Materials are required.

9702/41 May/June 2017

2 hours

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. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES.

Answer all questions.

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

At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question.

DC (LK/FD) 127087/2 ? UCLES 2017

This document consists of 22 printed pages and 2 blank pages.

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Data speed of light in free space permeability of free space permittivity of free space

elementary charge the Planck constant unified atomic mass unit rest mass of electron rest mass of proton molar gas constant the Avogadro constant the Boltzmann constant gravitational constant acceleration of free fall

2

c = 3.00 ? 108 m s-1

0 = 4 ? 10-7 H m-1

0 = 8.85 ? 10-12 F m-1

(

1

40

= 8.99 ? 109 m F-1)

e = 1.60 ? 10-19 C

h = 6.63 ? 10-34 J s

1 u = 1.66 ? 10-27 kg

me = 9.11 ? 10-31 kg mp = 1.67 ? 10-27 kg

R = 8.31 J K-1 mol-1

NA = 6.02 ? 1023 mol-1 k = 1.38 ? 10-23 J K-1

G = 6.67 ? 10-11 N m2 kg-2

g = 9.81 m s-2

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Formulae uniformly accelerated motion

work done on/by a gas gravitational potential hydrostatic pressure pressure of an ideal gas simple harmonic motion velocity of particle in s.h.m.

Doppler effect

electric potential capacitors in series capacitors in parallel energy of charged capacitor electric current resistors in series resistors in parallel Hall voltage alternating current/voltage radioactive decay decay constant

3

s

=

ut

+

1 2

at

2

v 2 = u 2 + 2as

W = pV

=

-

Gm r

p = gh

p

=

1 3

Nm V

c 2

a = - 2x

v = v0 cos t

v = ? (x02 - x2)

fo

=

fsv v ? vs

V

=

Q

40r

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

C = C1 + C2 + . . .

W

=

1 2

QV

I = Anvq

R = R1 + R2 + . . .

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

VH

=

BI ntq

x = x0 sin t

x = x0 exp(-t )

=

0.693 t1

2

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9702/41/M/J/17

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4 Answer all the questions in the spaces provided.

1 (a) Explain how a satellite may be in a circular orbit around a planet. ................................................................................................................................................... ................................................................................................................................................... ............................................................................................................................................... [2]

(b) The Earth and the Moon may be considered to be uniform spheres that are isolated in space. The Earth has radius R and mean density . The Moon, mass m, is in a circular orbit about the Earth with radius nR, as illustrated in Fig. 1.1.

Earth radius R

Moon nR

Fig. 1.1

The Moon makes one complete orbit of the Earth in time T. Show that the mean density of the Earth is given by the expression

=

3n3 GT 2

.

[4]

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5 (c) The radius R of the Earth is 6.38 ? 103 km and the distance between the centre of the Earth

and the centre of the Moon is 3.84 ? 105 km. The period T of the orbit of the Moon about the Earth is 27.3 days. Use the expression in (b) to calculate .

= ............................................... kg m?3 [3] [Total: 9]

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