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Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford
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Answer: A light wire is tightly stretched with tension F.

Chapter 15, Problem 24E

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QUESTION:

Problem 24E

A light wire is tightly stretched with tension F. Transverse traveling waves of amplitude A and wavelength λ1 carry average power Pav,1 = 0.400 W. If the wavelength of the waves is doubled, so λ2 = 2λ1, while the tension F and amplitude A are not altered, what then is the average power Pav,2 carried by the waves?

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QUESTION:

Problem 24E

A light wire is tightly stretched with tension F. Transverse traveling waves of amplitude A and wavelength λ1 carry average power Pav,1 = 0.400 W. If the wavelength of the waves is doubled, so λ2 = 2λ1, while the tension F and amplitude A are not altered, what then is the average power Pav,2 carried by the waves?

ANSWER:

Solution 24E

Step 1 of 5:

The average power which is proportional to the square of the amplitude and angular frequency is given by,

                                        ………..1

Where  average power, is restoring force(tension),  is linear mass density ,  is angular frequency and A is amplitude.

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