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Found in: Page 499

### Physics For Scientists & Engineers

Book edition 9th Edition
Author(s) Raymond A. Serway, John W. Jewett
Pages 1624 pages
ISBN 9781133947271

# 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.

See the step by step solution

## 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 $v=\sqrt{\frac{T}{\mu }}$

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

## 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.

$v=\sqrt{\frac{T}{\mu }}$

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