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7. Types of waves and their properties (12 minutes) - Pearson

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Answers:<br />

LEVEL: AS<br />

PHYSICS – Waves <strong>and</strong> Oscillations<br />

<strong>7.</strong> <strong>Types</strong> <strong>of</strong> <strong>waves</strong> <strong>and</strong> <strong>their</strong> <strong>properties</strong> (<strong>12</strong> <strong>minutes</strong>)<br />

(a)<br />

(i) Explain what is meant by the term 'progressive wave'.<br />

(1 mark)<br />

A progressive wave spreads out energy from the source vibration into the surrounding space.<br />

(ii) A radio wave <strong>of</strong> wavelength 5 x 103 m travels through a vacuum at 3 x 108 ms -1 . Calculate the<br />

frequency <strong>of</strong> this wave.<br />

(3 marks)<br />

v = fλ<br />

∴ f = v/λ<br />

= 3 x 10 8 ms -1 ÷ 5 x 10 3 m<br />

= 6 x 10 4 s -1<br />

= 6 x 10 4 Hz<br />

Watch out!<br />

If a question mentions an electromagnetic wave (e.g. radio, microwave, etc.) travelling in a vacuum, you should<br />

immediately realize that it will be travelling at 3 x 10 8 ms -1 .<br />

(b)<br />

(i) Explain what is meant by the term 'st<strong>and</strong>ing wave'.<br />

(2 marks)<br />

Under certain circumstances the energy <strong>of</strong> a wave can be prevented from spreading out. The positions <strong>of</strong> the<br />

peaks <strong>and</strong> troughs <strong>of</strong> these ‘st<strong>and</strong>ing’ or ‘stationary’ <strong>waves</strong> do not move.<br />

(ii) A st<strong>and</strong>ing wave is established in a string. Each antinode is separated from its neighbour by <strong>12</strong>.5 cm.<br />

What is the wavelength <strong>of</strong> the st<strong>and</strong>ing wave<br />

(2 marks)<br />

Antinodes are separated by λ/2 so λ = 25 cm<br />

Copyright © <strong>Pearson</strong> Education Limited 2001 1


Answers:<br />

LEVEL: AS<br />

PHYSICS – Waves <strong>and</strong> Oscillations<br />

(c)<br />

(i) Explain why the wave produced in this experiment is longitudinal.<br />

(1 mark)<br />

It is longitudinal because the vibrations causing the wave moving in the same direction as the wave motion.<br />

(ii) On the diagram label:<br />

a compression (C)<br />

a rarefaction (R)<br />

the wavelength (λ) <strong>of</strong> the wave<br />

(3 marks)<br />

By presenting information in a slightly unusual way (e.g. many teachers demonstrate slinky wires on a<br />

horizontal surface rather than hanging vertically as shown here) some questions can ‘weed out’ the weaker<br />

students.<br />

(Total marks <strong>12</strong>)<br />

Copyright © <strong>Pearson</strong> Education Limited 2001 2

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