physics

1 awave has a frequency of 5 ghz.
what is the period of the wave?
a 200ps
b 2ns
c 20ns
d 20000us

2 at temperatures close to 0k, the specific heat capacity c of a particular solid is given by c = bt°,
where t is the temperature and b is a constant, characteristic of the solid.
the si unit of specific heat capacity is j/kg’ k™.
what is the unit of constant b, expressed in si base units?
a m’s?k®
b m’s*kk*
c kgm*s?k®
d kgm’?s?kk~4

3 the speed of an aircraft in still air is 200kmh™'. the wind blows from the west at a speed of
85.0kmh™.
in which direction must the pilot steer the aircraft in order to fly due north?
a 23.0° east of north
b 23.0° west of north
c  25.2° east of north
d  25.2° west of north

4 a digital balance is used to weigh ingredients in a laboratory. when a weight is applied to the
digital balance, an electronic circuit generates a current which is then converted into a digital
readout on the display.

the electronic circuit gives a current of 2.0ma when a weight of 30n is applied, and a current of
0.5ma when a weight of 5n is applied.
which calibration curve could represent this circuit?
a b
2 2
current/ma current/ma
0 0
0 30 0 30
weight/n weight/n
cc d
2 2
current/ma | current/ma |
0 0
0 30 0 30
weight/n weight/n

5 four students measure a time interval that is known to be 1.734s.
the measurement recorded by each student is shown.
which measurement is the most accurate?
a 1s b 17s c 1.83s d 1.604s

6 amass on the end of a spring bounces up and down as shown, after being released at time t = 0.
distance up
0
0 time t
distance down
which graph shows how the velocity varies with time?
velocity up
a 0
time t
velocity up
b 0
time t
velocity up
cc 0
time t
velocity up
d 0
time t

8 two balls x and y are moving towards each other with speeds of 5ms" and 15ms”
respectively.
) 5ms* — }
x ¥
they make a perfectly elastic head-on collision and ball y moves to the right with a speed
of 7ms™.
what is the speed and direction of ball x after the collision?
a 3ms*' to the left
b 13ms"' to the left
c 3ms" to the right
d 13ms™ to the right

9 in the absence of air resistance, a ball thrown horizontally from a tower with velocity v, will land
after time t seconds.
lf, however, air resistance is taken into account, which statement is correct?
a the ball lands with a horizontal velocity less than v after more than t seconds.
b_ the ball lands with a horizontal velocity less than v after t seconds.
c_ the ball lands with a horizontal velocity v after more than t seconds.
d_ the ball lands with a horizontal velocity v after t seconds.

10 iwo balis, of masses m and 2m, travelling in a vacuum with initial velocities 2v and v
respectively, collide with each other head-on, as shown.
(m)—- 2v v —(e")
after the collision, the ball of mass m rebounds to the left with velocity v.
what is the loss of kinetic energy in the collision?
a 3mv b 3m/ cc 3mvv d &mvv

11 a ball falls through a liquid at a constant speed. it is acted upon by three forces: an upthrust, a
drag-force and its weight.
which statement is correct?
a_ the drag-force increases with increasing depth.
b_ the drag-force is equal to the sum of the upthrust and weight.
c_ the upthrust is constant with increasing depth.
d_ the weight is greater than the sum of the drag-force and the upthrust.

12. a fairground ride consists of four carriages connected to a central vertical pole, as shown in the
following view from above.
; direction
vertical of rotation
central pole
not to
scale
carriages
a motor rotates the central pole about its axis. this results in the four carriages each moving
along a circular path.
the distance from the middle of each carriage to the centre of the pole is 3.20m. when they are
moving, each carriage experiences an air resistance force of 85.0n. assume that there are no
other significant resistive forces.
which torque does the motor need to apply to the pole to keep the system rotating at constant
maximum speed?
a 544nm b 272nm c 544nm d 1090nm

13 a uniform horizontal beam ox, 4.0m long and weighing 100n, is hinged at a wall at point o. it is
supported by a cord xy which is attached to the wall at y.
a.
“ y
' cord
obo xx
4.0m
what is the tension in the cord?
a 50n b 58n c 86n d 100n

14 an object shaped as a hemisphere rests with its flat surface on a table. the object has radius r
and density p.
_f 7\
table
the volume of a sphere is an’,
which average pressure does the object exert on the table?
a tor? b tpr’g c 2pr d 2prg

15 which statement best represents the principle of conservation of energy?
a energy cannot be used faster than it is created.
b_ the supply of energy is limited, so energy must be conserved.
c_ the total energy in a closed system is constant.
d_ the total energy input to a system is equal to the useful energy output.

16 acrane is being used to lift containers off a ship. one container has a mass of 14 000 kg and is
being lifted vertically with a speed of 3.2ms™.
the electric motor being used to supply the power to lift the container is using a current of 240a
at a potential difference of 2200v.
what is the efficiency of the system?
a 81% b 8.5% c 48% d 83%

17 the data below are taken from a test of a petrol engine for a motor car.
power output 150 kw
fuel consumption 20 litres per hour
energy content of fuel 40 mj per litre
what is the ratio power qulpul »
power input
150x10°
a —_ ei
40x 10° x 20 x 60 x 60
b 150 x 10° x 60 x 60
20 x 40 x 10°
¢ 150x10° x40 x10°x 20
60 x 60
d 150 x10° x 20
40 x 10° x60 x60

18 leonardo da vinci proposed a flying machine that would work like a screw to lift the pilot into the

air. the ‘screw’ is rotated by the pilot.

<4

as

af y ss
es [2 \
gon

the machine and the pilot together have a total mass of 120 kg.
which useful output power must the pilot provide to move vertically upwards at a constant speed
of 2.5ms'?
a 48w b 300w cc 470w d 2900w

19 a metal wire, fixed at one end, has length j and cross-sectional area a. the wire extends a
distance e when mass m is hung from the other end of the wire.
what is an expression for the young modulus e of the metal?
a p= ml b ea mal @ pee p ec= ge
ae ae al al

20 a spring has a spring constant of 6.0ncm™". it is joined to another spring whose spring constant
is 4.0ncm“. a load of 80n is suspended from this composite spring.
lpl, ie
6.0ncm*
4.0ncm*
load

80n
what is the extension of this composite spring?
a 80cm b 16cm c 17cm d 33cm

21 the graph shows the extension of a sample of a type of rubber as different loads f are applied
and then gradually removed.
100
oe on
ot el eer i
at |
of er t
aa elt
"veel
0
0 4 8 12 16
extension/mm
what is the best estimate of the strain energy in the rubber when a load of 80 n is applied?
a 0.40j b 0.64j c 0.88j d 1.3j

22 a sound wave passes through air.
the diagram shows the positions of the molecules of the air at one instant.
srs oe, 9s rrr oe, os sr te os i re tess
e “ wee 0 a . — i a pe bre ee ot — .. ar re bares oy ets ee — “ iia bares iy “ - ‘.
pee 8 8 op ates tg o° st sa eae ag owe ase tans os
pp q r is)
which distance is equal to the wavelength of the wave?
a pq b ps c qr d qs
a

23 the top row of bars represents a set of particles inside the earth and at rest.
the lower row represents the same particles at one instant as a longitudinal wave passes from
left to right through the earth.

pete ete teepe pep p rire
ptt tie te pe eee teeee re te |
what should be measured to determine the amplitude of the oscillations of the particles in the

lower row as the wave passes?

a half the maximum displacement of the particles from their position at rest
b _ half the maximum distance apart of the particles

c the maximum displacement of the particles from their position at rest

d_ the maximum distance apart of the particles

24 a straight tube is closed at one end and has a loudspeaker positioned at the open end. the
frequency of the loudspeaker is initially very low and is increased slowly. a series of loudness
maxima are heard. the stationary wave which gives the first maximum has a node at the closed
end and an antinode at the open end. the frequency of the loudspeaker is f, when the first
maximum is heard.

what is the frequency of the loudspeaker when the fourth maximum is heard?
a . b 2f, c 4f, d tf,

25 a buzzer emitting sound of frequency 846 hz is attached to a string and rotated in a horizontal
circle. the linear speed of the buzzer is 25.0ms™.
buzzer
observer
the speed of sound is 340ms™.
what is the maximum frequency heard by the observer?
a 783hz b  788hz c 908hz d 913hz

26 the diagram shows the principal regions of the electromagnetic spectrum, with some details
labelled. the diagram is not to scale.
10-°m
<_  .).—o0ooouu
wavelength increasing
what is a typical order of magnitude of the wavelength of the radiation in region q?
a 107m b 10°m cc 10°%m d 10°m

2/7 p and q are fixed points at the end of a string. a transverse stationary wave of constant
maximum amplitude is formed on the string.
ip oe
p ss r t q
p, r and q are the only points on the string where nodes are formed. s and t are two points on
the string at a distance x from r.
what is the relationship between points s and t?
a the same amplitude and in phase
b_ different amplitudes and in phase
c_ the same amplitude and a phase difference of 180°
d_ different amplitudes and a phase difference of 180°

28 two identical loudspeakers are connected in series to an a.c. supply, as shown.
p
speaker
a.c. supply ~
speaker
q
a microphone is moved along the line pq.
which graph best shows the variation with distance from p of the intensity of the sound detected
by the microphone?
a b
intensity intensity
hans. anal.
p q pe q
distance distance
cc d
intensity intensity
pe, aaa
p q p q
distance distance

29 a diffraction grating experiment is set up using orange light of wavelength 600 nm. the grating
has a slit separation of 2.00 um.
2nd order orange
1st order orange
ae
9,
ies po aswww dt vewwslremuanreae
light of :
wavelength grating
600nm
what is the angular separation (@— @,) between the first and second order maxima of the orange
light?
a 17.5° b 19.4° c 36.9° d = 54.3°

30 two horizontal parallel plate conductors are separated by a distance of 5.0mm in air. the lower
plate is earthed and the potential of the upper plate is +50v.
what is the electric field strength e at a point midway between the plates?
a 1.0 x 10*vm™ downwards
b 1.0 x 10*vm™ upwards
c 2.0 x 10*vm"" downwards
d 2.0x 10*vm"™ upwards

31 the diagram shows the electric field near a point charge and two electrons x and y.
ey
xe
which row describes the forces acting on x and on y?
| | direction of force magnitude of force on x
a radially inwards less than force on y
b radially inwards greater than force on y
cc radially outwards less than force on y
d radially outwards greater than force on y

32 the electric current in a wire may be calculated using the equation i= anvq.
which statement is not correct?
anis the number of charge carriers per unit volume of the wire.
b_nais the number of charge carriers per unit length of the wire.
c_ qis the charge of each charge carrier.
d_ vis the velocity of each charge carrier.

33 three resistors are connected in parallel across a power supply, as shown.
of —
o oo
20
a

[|

[|
the power dissipated in each of the resistors of resistance 2q, 3q and 4q is p2, p3 and p,
respectively.
what is the ratio p2: p3:p4?
a 2:3:4 b 4:3:2 c 6:4:3 d 36:16:9

34 which graph shows the variation with current j of the potential difference v of a filament lamp?
a b cc d
lz 4 ia va
0 0 0 0
0 zi 0 i 0 i 0 i

35 awire of cross-sectional area 5.0 x 10-’m* is made of a metal of resistivity 50 x 10° qm.
the potential difference across the wire is 6.0v and the current is 3.0a.
what is the length of the wire?
a 0.050m b 0.20m cc 5.0m d 20m

36 a cell of internal resistance r and electromotive force (e.m.f.) e is connected in series with a
resistor of resistance r.
z |
. a
r
the resistance r and the e.m.f. e remain fixed. the internal resistance r of the cell changes over
time.
which graph best shows the variation of the current j in the circuit with the internal resistance r?
a b
a —
0 0
0 f 0 r
cc d
0 0
0 r 0 r

37 identical resistors are connected in four combinations p, q, r and s between terminals x and y.
p q
xx y x ng
o_o +--+ o—{___ +} —o
r ss
x y xx ¥
what is the order of decreasing combined resistance between x and y (largest first)?
a p>~s>~q>r
b p>s>r>q
cc q>r>s>p
d s>p>~q>r

38 the circuit shown consists of two resistors of resistances 10kq and 50k© and a component y.
a 6.0v supply is provided. the electric potential of the bottom wire is ov.
6.0v 0
10kq /
x | =
o0vo
the current in component y is negligible.
what is the electric potential at junction x?
a 1.0v b 1.2v cc 48v d 5.0v

39 aneutron $n is fired ata *33u nucleus. the neutron is absorbed by the nucleus which then splits
to form nuclei of $gba and 32kr.
what is the number of neutrons emitted when the 723u nucleus splits?
a 0 b 1 cc 2 d 3

40 which word equation represents b* decay?
a proton > neutron + electron + electron antineutrino
b proton > neutron + electron + electron neutrino
c proton > neutron + positron + electron antineutrino
d proton > neutron + positron + electron neutrino
a llllllll_—____t_______

Solve 9702_m19_qp_12