1. Motion, forces and energy

1.1 Physical quantities and measurement techniques

1.2 Motion

1.3 Mass and weight

1.4 Density

1.5.1 Effects of forces

1.5.2 Turning effect of forces

1.5.3 Centre of gravity

1.6 Momentum

1.7.1 Energy

1.7.2 Work

1.7.3 Energy resources

1.7.4 Power

1.8 Pressure

2. Thermal physics

2.1.1 States of matter

2.1.2 Particle model

2.1.3 Gases and the absolute scale of temperature

2.2.1 Thermal expansion of solids, liquids and gases

2.2.2 Specific heat capacity

2.2.3 Melting, boiling and evaporation

2.3.1 Conduction

2.3.2 Convection

2.3.3 Radiation

2.3.4 Consequences of thermal energy transfer

3. Waves

3.1 General properties of waves

3.2.1 Reflection of light

3.2.2 Refraction of light

3.2.3 Thin lenses

3.2.4 Dispersion of light

3.3 Electromagnetic spectrum

3.4 Sound

4. Electricity and magnetism

4.1 Simple phenomena of magnetism

4.2.1 Electric charge

4.2.2 Electric current

4.2.3 Electromotive force and potential difference

4.2.4 Resistance

4.2.5 Electrical energy and electrical power

4.3.1 Circuit diagrams and circuit components

4.3.2 Series and parallel circuits

4.3.3 Action and use of circuit components

4.4 Electrical safety

4.5.1 Electromagnetic induction

4.5.2 The a.c. generator

4.5.3 Magnetic effect of a current

4.5.4 Force on a current-carrying conductor

4.5.5 The d.c. motor

4.5.6 The transformer

5. Nuclear physics

5.1.1 The atom

5.1.2 The nucleus

5.2.1 Detection of radioactivity

5.2.2 The three types of nuclear emission

5.2.3 Radioactive decay

5.2.4 Half-life

5.2.5 Safety precautions

6. Space physics

6.1.1 The Earth

6.1.2 The Solar System

6.2.1 The Sun as a star

6.2.2 Stars

6.2.3 The Universe

IGCSE Physics 1.4 Density Question Bank

[Maximum number: 5]

Fig. 1.1 shows a cylinder made from copper of density $9000 \mathrm{~kg} / \mathrm{m}^{3}$ .

Fig. 1.1

The volume of the cylinder is $75 \mathrm{~cm}^{3}$ .

(a)

Calculate the mass of the cylinder.
mass =

[ 2 ]

(b)

Fig. 1.2 shows the cylinder immersed in a liquid.

Fig. 1.2 (not to scale)

The upper face of the cylinder is at a depth of 2.7 cm below the surface of the liquid. The pressure due to the liquid at the upper face of the cylinder is 560 Pa .

[ 3 ]

(i)

Calculate the density of the liquid.
density =

[ 2 ]

(ii)

Explain why the cylinder does not float in this liquid.

[ 1 ]

[Maximum number: 2]

Fig. 1.1 is the top view of a tank in an aquarium. The tank is filled with salt water.

Fig. 1.1 (not to scale)

The depth of the water in the tank is 2.0 m .

(a)

The density of the water in the tank is $1.1 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ .

Calculate the mass of the water in the tank.
mass =

[ 2 ]

(a)

Fig. 1.1 shows a sealed weather balloon which is stationary in still air.

Fig. 1.1

State whether the overall density of the balloon and its instruments is greater than, less than, or the same as the density of the surrounding air.

[ 1 ]

[Maximum number: 2]

Fig. 1.1 is the top view of a rectangular paddling pool of constant depth. The pool is filled with sea water.

Fig. 1.1 (not to scale)

(a)

The mass of the sea water in the pool is $2.70 \times 10^{5} \mathrm{~kg}$ . Calculate the density of the sea water. Give your answer to 3 significant figures.
density =

[ 2 ]

[Maximum number: 3]

Fig. 1.1 shows sea water flowing down a channel into a tank without splashing. The water is flowing at a rate of $800 \mathrm{~kg} / \mathrm{min}$ . The length and width of the tank are 3.10 m and 1.20 m . The density of the sea water is $1020 \mathrm{~kg} / \mathrm{m}^{3}$ .

Fig. 1.1 (not to scale)

(a)

Initially, the tank is empty.

Calculate the depth of water in the tank after 1.00 minute. Give your answer to three significant figures.

depth =

[ 3 ]

(a)

Oil of density $0.80 \mathrm{~g} / \mathrm{cm}^{3}$ is poured gently onto the surface of water of density $1.0 \mathrm{~g} / \mathrm{cm}^{3}$ . The oil and the water do not mix.

Describe and explain the final position of the oil relative to the water.
description
explanation

[ 2 ]

(b)

An irregularly shaped solid object has a density of $2.7 \mathrm{~g} / \mathrm{cm}^{3}$ .

[ 5 ]

(i)

Describe a method to measure the volume of the irregularly shaped solid object.

[ 2 ]

(ii)

The volume of the object is $83 \mathrm{~cm}^{3}$ .

Calculate the mass of the object.

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

[ 3 ]

[Maximum number: 1]

Which substance in the table has the lowest density?

substance

mass $/ \mathrm{g}$

volume $/ \mathrm{cm}^{3}$

nylon

1.2

1.0

cotton

1.5

1.0

olive oil

1.8

2.0

water

2.0

[Maximum number: 1]

The diagram shows the dimensions of a solid rectangular block of metal of mass m.

Which expression is used to calculate the density of the metal?

$\frac{m}{(p \times q)}$

$\frac{m}{(p \times q \times r)}$

$m \times p \times q$

$m \times p \times q \times r$

[Maximum number: 1]

Which substance in the table has the lowest density?

substance

mass $/ \mathrm{g}$

volume $/ \mathrm{cm}^{3}$

nylon

1.2

1.0

cotton

1.5

1.0

olive oil

1.8

2.0

water

2.0

[Maximum number: 1]

Which substance in the table has the lowest density?

substance

mass $/ \mathrm{g}$

volume $/ \mathrm{cm}^{3}$

nylon

1.2

1.0

cotton

1.5

1.0

olive oil

1.8

2.0

water

2.0

0 selected

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Question 4

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