IGCSE 2021 0625/43 May/June (pdf)
- Fig. 1.1 shows a load suspended from a spring
The value of the spring constant k of the spring is 0.20N/ cm. The spring reaches its limit of
proportionality when the load is 15N.
(a) Calculate the extension of the spring when the load is 3.0N
(b) Explain what is meant by the term limit of proportionality of the spring.
(c) On Fig. 1.2, sketch an extension–load graph for a spring. Label the limit of proportionality with
the letter L on your graph.
(d) The load is pulled down a small distance below its equilibrium position to position A, as shown
in Fig. 1.3. The load then moves up and down between position A and position B in Fig. 1.3.
Describe the energy transfers which occur as the load moves:
from position A to the equilibrium position
from the equilibrium position to position B.
- (a) Fig. 2.1 shows a bookshelf with two groups of books A and B on it. There are six books in
each group of books. All the books are identical. The mass of each book is 0.52kg
(i) Explain why the pressure exerted on the shelf by the books in group B is less than the
pressure exerted on the shelf by the books in group A.
(ii) Calculate the pressure exerted on the shelf by the books in group A.
(b) A diver dives to a depth below the surface of the sea where the total pressure is 3.0 × 105Pa.
The atmospheric pressure is 1.0 × 105Pa. The density of the sea water is 1030kg/m3.
Calculate the depth of the diver below the surface of the sea.
- A car travels at constant speed v on a horizontal, straight road. The driver sees an obstacle on the
road ahead.
(a) The distance travelled in the time between the driver seeing the obstruction and applying the
brakes is the thinking distance.
Explain why the thinking distance is directly proportional to v.
(b) When the brakes are applied, the car decelerates uniformly to rest. The frictional force applied
by the brakes is constant. The distance travelled between first applying the brakes and the
car stopping is the braking distance.
Explain why the braking distance is proportional to v2.
(ii) The car has a mass of 1400kg. The time taken for the car to stop after the brakes are
applied is 2.1s.
Calculate the force required to stop the car in this time.
- (a) (i) Define specific latent heat of fusion.
(ii) A cup of water contains 250cm3 of water at a temperature of 0°C. An identical cup
contains 250cm3 of a mixture of ice and water at a temperature of 0°C.
The temperature of the surrounding air is 20°C.
State and explain which cup contains the liquid with the lower temperature after
10 minutes
(b) (i) On a hot day, sweat forms on a person’s skin and then evaporates.
Explain, in terms of molecules, how the evaporation of sweat cools the person.
(ii) Explain why this process is more effective when a wind is blowing
- (a) Fig. 5.1 shows a wave on the sea approaching a harbour.
(i) On Fig. 5.1, draw three wave crests in the harbour.
(ii) Another harbour has a much wider gap between its walls.
Describe and explain how the pattern of wave crests in this harbour is different from the
pattern you have drawn in (i).
(b) A sound wave of frequency 850Hz travels through sea water. The speed of sound in sea
water is 1500m/s.
Calculate the wavelength of this sound wave in sea water.
- Fig. 6.1 is a full-scale diagram of a lens and an object O.
(a) The focal length of the lens is 3.5cm.
On Fig. 6.1, mark and label with the letter F the positions of the two principal focuses.
(b) On Fig. 6.1, draw three rays to locate the image. Draw an arrow to represent the image and
label the image I.
(c) State three properties of the image I.
(d) A student incorrectly states that this lens is being used as a magnifying glass.
(i) State how the image produced by a magnifying glass is different from the image I.
(ii) The student moves the object O to a position P so that the lens shown in Fig. 6.1 acts as
a magnifying glass.
On Fig. 6.1, mark a possible position for P.
- (a) Define electromotive force (e.m.f.).
(b) Fig. 7.1 shows a circuit.
The two lamps shown are identical. Each lamp has a potential difference (p.d.) of 3.0V across
it and a current of 2.0A in it. PQ is a length of uniform metal wire. The resistance of PQ is R.
(i) Calculate the value of R.
(ii) Another piece of wire is made of the same metal as PQ. The length of the new piece
of wire is twice the length of PQ. The diameter of the new piece of wire is twice the
diameter of PQ.
Calculate the resistance of the new piece of wire.
- (a) State the difference between an analogue signal and a digital signal. You may draw a diagram
to help explain your answer.
(b) Draw the symbol for a NOR gate
(c) Fig. 8.1 shows a combination of logic gates X, Y and Z. The gates are not represented by the
standard symbols.
- (a) An X-ray machine requires a supply of 110kV. The mains electricity supply is 230V. A
transformer is used to supply the correct voltage to the X-ray machine. There are 50 turns on
the primary coil of the transformer.
Calculate the number of turns on the secondary coil.
(b) Draw a labelled diagram of a step-down transformer. On the labels, state a suitable material
for each of the components.
(c) Explain how a transformer operates.
- (a) Fig. 10.1 shows a beam of radiation in a vacuum. The beam contains α-particles, β-particles
and γ-rays.
The beam enters a region where there is a strong, uniform magnetic field. The direction of the
magnetic field is out of the page.
On Fig. 10.1, mark and label the paths through the magnetic field of:
(i) α-particles (label this path α)
(ii) β-particles (label this path β)
(iii) γ-rays (label this path γ).
(b) Radioactive sources have many uses in medicine.
State two safety precautions which hospital staff take when working with γ-ray sources
(c) The radioactive isotope iodine-131 is used as a tracer in medical diagnosis. A nucleus of
iodine-131 contains 53 protons and 78 neutrons. The symbol for iodine is I.
(i) Use nuclide notation to show this isotope of iodine
(ii) Iodine-131 emits γ-radiation. It has a half-life of 8 hours.
Explain why this emission and this half-life make iodine-131 a suitable material for a
tracer in medical diagnosis.
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