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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Level
*0938524315*
PHYSICS Paper 4 A2 Structured Questions
Candidates answer on the Question Paper. No Additional Materials are required.
9702/41 October/November 2009
1 hour 45 minutes
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 a soft pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, highlighters, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions. 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
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
3
part question.
4
5
6
7
8
9
10
11
12
Total
DC (NF/CGW) 12642/7 ? UCLES 2009
This document consists of 21 printed pages and 3 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 constant, 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
e = 1.60 ? 10?19 C h = 6.63 ? 10?34 J s 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
? UCLES 2009
9702/41/O/N/09
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.,
electric potential, capacitors in series, capacitors in parallel, energy of charged capacitor, resistors in series, resistors in parallel, 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
a = ? 2x
v = v0 cos t
v = ? ( x02 ? x 2 )
V
=
Q 40r
1/C = 1/C1 + 1/C2 + . . .
C = C1 + C2 + . . .
W =
1 2
QV
R = R1 + R2 + . . . 1/R = 1/R1 + 1/R2 + . . .
x = x0 sin t
x = x0 exp(? t)
0.693
= t1
2
? UCLES 2009
9702/41/O/N/09
[Turn over
4 Section A Answer all the questions in the spaces provided.
For Examiner's
Use
1 (a) State Newton's law of gravitation. .......................................................................................................................................... .......................................................................................................................................... .................................................................................................................................... [2]
(b) The Earth may be considered to be a uniform sphere of radius R equal to 6.4 ? 106m. A satellite is in a geostationary orbit. (i) Describe what is meant by a geostationary orbit. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. ............................................................................................................................ [3] (ii) Show that the radius x of the geostationary orbit is given by the expression gR 2 = x3 2 where g is the acceleration of free fall at the Earth's surface and is the angular speed of the satellite about the centre of the Earth.
[3] (iii) Determine the radius x of the geostationary orbit.
? UCLES 2009
radius = ........................................... m [3]
9702/41/O/N/09
5
2 An ideal gas occupies a container of volume 4.5 ? 103 cm3 at a pressure of 2.5 ? 105 Pa and For
a temperature of 290 K.
Examiner's
Use
(a) Show that the number of atoms of gas in the container is 2.8 ? 1023.
[2] (b) Atoms of a real gas each have a diameter of 1.2 ? 10?10 m.
(i) Estimate the volume occupied by 2.8 ? 1023 atoms of this gas.
volume = ......................................... m3 [2] (ii) By reference to your answer in (i), suggest whether the real gas does approximate
to an ideal gas. .................................................................................................................................. .................................................................................................................................. ............................................................................................................................ [2]
? UCLES 2009
9702/41/O/N/09
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