1 Fig. 1.1 shows the extension-load graph for a single spring.

Fig. 1.1

A is the limit of proportionality for the spring. The spring is placed in parallel with two other identical
springs as shown in Fig. 1.2.

Fig.1.2

(a) (i) On Fig. 1.1, draw the load-extension line for the three springs in parallel.

(ii) State the extension produced when the three springs have reached the limit of proportionality.

extension = .....................................[3]
2 A student wants to determine the density of a piece of wire. He uses instruments, the scales of
which are shown in Fig. 2.1(a) and Fig. 2.1(b), to measure the diameter and the length of wire
respectively.

diameter of wire length of wire

Fig. 2.1(a) Fig. 2.1(b)

(a) (i) Name the instruments shown and record their readings.

[3]

(b) The mass of the wire is 3.0 g. Calculate

(i) the volume of the wire in mm3, (volume of a cylinder= πr2l, take π = 3.14)

volume= .....................................
(ii) the density of the material from which the wire is made.

density= .....................................[4]

3 A fisherman who can paddle at 4 km/h in still water, heads a canoe due north. The water is
moving at a steady speed of 2 km/h due east.

Using a diagram, or otherwise, find

(a) the magnitude of the resultant velocity of the canoe,

velocity= ................................................

(b) the angle of travel of the canoe relative to North.

angle of travel = ..........................................[4]

4 A morula fruit, initially at rest, falls freely from a tree.

(a) Calculate the velocity of the fruit 1.0 s after it starts to fall. (The acceleration of free fall= 10m /s 2).

velocity = ............................................[2]
(b) The fruit takes 2.0 s to hit the ground. Calculate the distance the fruit falls before hitting the ground.

distance = ..........................................[2]

5 Fig. 5.1 shows the cross section of a drying pan for highly concentrated salt solution.

Fig. 5.1

(a) (i) State two atmospheric conditions that increase evaporation from the salt solution.

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

(ii) Explain in terms of molecular motion why one of the above conditions increases the rate of
evaporation.

...........................................................................................................................................................
...........................................................................................................................................................
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(iii) Suggest why the drying pans are made wide.

...........................................................................................................................................................
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[5]
(b) A student wants to estimate the amount of solar (heat) energy absorbed by the water. The student
measures the temperature of water at sunrise as 25°C , and at noon as 33°C.

Calculate the energy needed to raise the temperature for 2000 kg of water between sunrise and
noon. (The specific heat capacity of water is 4.2 kJ/(kg°C )).

energy= .....................................[2]

(c) State two reasons why the sun has to provide more energy than you have calculated in(b) to warm
the water.

1.................................................................................................................................................................

2..................................................................................................................................................................

[2]

(d) A plastic bottle is completely filled with 200cm3 of water at 0°C . The bottle is closed and placed into
a freezer. The density of water is 1.0 g/cm3.

(i) Calculate the mass of the water.

mass= ...................................................

(ii) Calculate the heat given out by the water as it turns to ice at 0 °C. (The specific latent heat of
fusion of ice= 340J/g.)

heat given out = .....................................

(iii) Explain why the plastic bottle may burst as the water freezes.

...........................................................................................................................................................
...........................................................................................................................................................
.......................................................................................................................................................[4]
6 Fig. 6.1 shows an object 0, placed near a thin converging lens L. F is the principal focus of the
lens.

Fig. 6.1

(a) Complete the diagram in Fig. 6.1 to locate the image of the object 0. [3]

(b) State two properties of the image.

1...................................................................................................................................................

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

(c) Calculate the magnification produced by the lens.

magnification = .....................................[2]
7 Fig. 7.1 shows a system in which one circuit A, controls another circuit B.

Fig. 7.1

(a) When switch S is closed the lamp L lights. Describe how the system works to light lamp L.

...........................................................................................................................................................
...........................................................................................................................................................
...........................................................................................................................................................
.......................................................................................................................................................[4]

(b) Switch S is opened and a capacitor is connected between X and Y.

(i) On Fig. 7.1, draw a capacitor between points X and Y.

(ii) State what happens to the capacitor when switch Sis closed.

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

(iii) What now happens to lamp L when switch S is opened?

...........................................................................................................................................................
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.....................................................................................................................................................[3]
8 Fig. 8.1 shows a circuit used to investigate the relationship between the current in and the
potential difference across a filament lamp.

Fig. 8.1

Switch S is closed. The variable resistor is altered and several current and potential difference (p.d.)
readings are recorded. The results were used to plot the graph of Fig. 8.2.

Fig. 8.2

(a) (i) Describe how Fig. 8.2 shows that the resistance of the lamp increases as current is increased.

...........................................................................................................................................................
...........................................................................................................................................................
..........................................................................................................................................................
(ii) State the potential difference across the lamp when the current in it is 1.0mA.

p.d. = .....................................

(iii) Calculate the resistance of the lamp when the current through it is 1.0 rnA.

resistance = .....................................[4]

(b) The resistance of the variable resistor in Fig. 8.1 is now set to 1680 Ω. The ammeter then reads 2.5
mA while the potential difference across the power supply is 12 V.

Calculate the potential difference across

(i) the variable resistor,

p.d. = .............................................................

(ii) the lamp.

p.d. =...................................................[2]
9 Fig. 9.1(a) shows a current carrying conductor passing through a cardboard sheet. The arrow
shows the direction of the current.

Fig. 9.1(a)

(a) On the top-view diagram of Fig. 9.1(a), draw the magnetic field due to the current in the wire.

(b) Fig. 9.1(b) shows two conductors A and B carrying equal currents in the opposite direction to each
other.

Fig. 9.1(b)

(i) On the top-view diagram of Fig.9.1(b), draw the magnetic field due to the currents in the region
between the two conductors.
(ii) State the direction of the force on conductor B due to the magnetic field produced by the
current in conductor A.

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

[3]

(b) Fig. 10.1 shows one way of measuring the thickness of a sheet of paper. The radiation used has a
long half-life.

Fig. 10.1

(i) Describe and explain what happens when the thickness of the sheet increases.

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

(ii) State the type of radiation suitable for use in this arrangement.

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

(iii) Explain why the radiation source used should have a long half-life.

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......................................................................................................................... [4]