Book edition 9th Edition

Author(s) Raymond A. Serway, John W. Jewett

Pages 1624 pages

ISBN 9781133947271

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Short Answer

If you stretch a rubber hose and pluck it, you can observe a pulse traveling up and down the hose.
i) What happens to the speed of the pulse if you stretch the hose more tightly? (a) It increases. (b) It decreases. (c) It is constant. (d) It changes unpredictably.
ii) What happens to the speed if you fill the hose with water? Choose from the same possibilities.

i) Option (a) is correct.

ii) Option (b) is correct.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: The speed of a wave

The speed of a wave traveling on a taut string of mass per unit length m and tension T is $v = \sqrt{\frac{T}{μ}}$

Traveling Wave: The wave speed of a sinusoidal wave is $v = \frac{λ}{T} = λ f$

Step 2(i): Find what happens to the speed of the pulse if you stretch the hose more tightly

Answer (a), higher tension makes wave speed higher.

$v = \sqrt{\frac{T}{μ}}$

As we can see above formula speed is directly portioned to tension higher tension makes wave speed higher.

Step 3(ii): Find what happens to the speed if you fill the hose with water

Answer (b) is correct.

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Physics For Scientists & Engineers

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Short Answer

Step by Step Solution

Step 1: The speed of a wave

Step 2(i): Find what happens to the speed of the pulse if you stretch the hose more tightly

Step 3(ii): Find what happens to the speed if you fill the hose with water

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Physics For Scientists & Engineers

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Short Answer

Step by Step Solution

Step 1: The speed of a wave

Step 2(i): Find what happens to the speed of the pulse if you stretch the hose more tightly

Step 3(ii): Find what happens to the speed if you fill the hose with water

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