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

Answer :

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

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

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.

[tex]E \propto a^2[/tex]

(I). Amplitude = 10

then, the energy will be

[tex]E = 100[/tex]

(II). Amplitude = 6

then, the energy will be

[tex]E = 36[/tex]

(II). Amplitude = 4

then, the energy will be

[tex]E = 16[/tex]

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

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