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Which amplitude of the following longitudinal waves has the greatest energy?

amplitude = 10 cm; wavelength = 6 cm; period = 4 seconds
amplitude = 6 cm; wavelength = 4 cm; period = 10 seconds
amplitude = 4 cm; wavelength = 10 cm; period = 6 seconds

User Amrit
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Which amplitude of the following longitudinal waves has the greatest energy?

amplitude = 10 cm; wavelength = 6 cm; period = 4 seconds

User Avicohen
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Answer: A longitudinal wave has the greatest energy for amplitude 10 cm.

Explanation:

We know that,

The energy is directly proportional to the square of the amplitude.


E \propto a^2

(I). Amplitude = 10

then, the energy will be


E = 100

(II). Amplitude = 6

then, the energy will be


E = 36

(II). Amplitude = 4

then, the energy will be


E = 16

Hence, A longitudinal wave has the greatest energy for amplitude 10 cm.

User Sharath
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