Question

In fundamental mode, the time required for the sound wave to reach up to the closed end of a pipe filled with air is 't' second. The frequency of vibration of the air column is ______ 

Options

• `1/(4t)`

• `1/t`

• `1/(3t)`

• `1/(2t)`

Answer 1

In fundamental mode, the time required for the sound wave to reach up to the closed end of a pipe filled with air is 't' second. The frequency of vibration of the air column is `underline(1/(4t))`.

Explanation:

The distance between the open end and the closed end in the fundamental mode is `lambda/4`. If the 4 time required to cover the distance is t, then the time required to travel a distance equal to A. will be 4t. Therefore the period of the wave is 4t. Hence the frequency is `1/(4t)`.