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Cambridge International AS & A Level

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PHYSICS

9702/22

Paper 2 AS Level Structured Questions

May/June 2022

1 hour 15 minutes

You must answer on the question paper.

No additional materials are needed.

INSTRUCTIONS

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Answer all questions.

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Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.

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Write your name, centre number and candidate number in the boxes at the top of the page.

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Write your answer to each question in the space provided.

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Do not use an erasable pen or correction fluid.

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Do not write on any bar codes.

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You may use a calculator.

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You should show all your working and use appropriate units.

INFORMATION

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The total mark for this paper is 60.

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The number of marks for each question or part question is shown in brackets [ ].

This document has 16 pages. Any blank pages are indicated.

DC (PQ/CT) 303286/2

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Data

acceleration of free fall

g

= 9.81 m s¨C2

speed of light in free space

c

= 3.00 ¡Á 108 m s¨C1

elementary charge

e

= 1.60 ¡Á 10¨C19 C

unified atomic mass unit

1u

= 1.66 ¡Á 10¨C27 kg

rest mass of proton

mp

= 1.67 ¡Á 10¨C27 kg

rest mass of electron

me

= 9.11 ¡Á 10¨C31 kg

Avogadro constant

NA

= 6.02 ¡Á 1023 mol¨C1

molar gas constant

R

= 8.31 J K¨C1 mol¨C1

Boltzmann constant

k

= 1.38 ¡Á 10¨C23 J K¨C1

gravitational constant

G

= 6.67 ¡Á 10¨C11 N m2 kg¨C2

permittivity of free space

¦Å0

= 8.85 ¡Á 10¨C12 F m¨C1

(

1

4rf0

= 8.99 ¡Á 109 m F¨C1)

Planck constant

h

= 6.63 ¡Á 10¨C34 J s

Stefan¨CBoltzmann constant

¦Ò

= 5.67 ¡Á 10¨C8 W m¨C2 K¨C4

Formulae

uniformly accelerated motion

s

v2

= ut + 12 at 2

= u 2 + 2as

hydrostatic pressure

?p

= ¦Ñg?h

upthrust

F

= ¦ÑgV

Doppler effect for sound waves

fo

fs v

= v!v

s

electric current

I

= Anvq

resistors in series

R

= R1 + R2 + ...

resistors in parallel

1

R

=

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1

1

+

+ ...

R1 R2

9702/22/M/J/22

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BLANK PAGE

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1

(a) In the following list, underline all units that are SI base units.

ampere

degree Celsius

kilogram

newton

[1]

(b) Fig. 1.1 shows a horizontal beam clamped at one end with a block attached to the other end.

block

direction

of oscillations

clamp

beam

Fig. 1.1

The block is made to oscillate vertically.

The Young modulus E of the material of the beam is given by

E=

kM

T2

where M is the mass of the block,

T is the period of the oscillations

and k is a constant.

A student determines the values and percentage uncertainties of k, M and T.

Table 1.1 lists the percentage uncertainties.

Table 1.1

quantity

percentage

uncertainty

k

¡À 2.1%

M

¡À 0.6%

T

¡À 1.5%

The student uses the values of k, M and T to calculate the value of E as 8.245 ¡Á 109 Pa.

(i)

Calculate the percentage uncertainty in the value of E.

percentage uncertainty = ..................................................... % [2]

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(ii)

Use your answer in (b)(i) to determine the value of E, with its absolute uncertainty, to an

appropriate number of significant figures.

E = (..................................... ¡À .....................................) ¡Á 109 Pa [2]

[Total: 5]

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9702/22/M/J/22

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