Question

When the bug is stationary and creating waves, how does the frequency of the wave some distance away from the bug compare with the frequency of the vibration of the bug?

Answer 1

The frequency is the same

Step-by-step explanation:

When a wave is created by a source which is vibrating at a certain frequency, the frequency of the wave itself is equal to the frequency of the source.

This occurs with every kind of wave. For instance, if we consider the radio waves produced by an antenna, the frequency of the radio waves is equal to the frequency of the antenna.

In this case, the waves are created by the vibrating bug. The bug is vibrating with a certain frequency
`f`: as a consequence, the frequency
`f'` of the waves produced by the bug will be equal to the frequency of vibration of the bug:

`f'=f`.