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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
15 Nov 2021

Given information

Given:

The wave transmits more energy and by what factor.

Formula used:

The wave's energy transmission:

 

Step-by-step explanation

Step 1.

If two waves have the same speed but one has half the wavelength of the other, the shorter wavelength wave must have twice the frequency of the longer wavelength wave. The energy delivered by a wave is proportional to the wave speed and the frequency squared. The shorter wavelength wave will transfer four times the energy of the longer wavelength wave.

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