Question

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 1

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

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

Answer 2

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.