Question

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

Options

• (4t)^-1

• (2t)^-1

• 4t

• 2t

Answer 1

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

Explanation:

The distance between the open end and the closed end in the fundamental mode is \[\frac {λ}{4}\]. If the time required to cover the distance is t, then the time required to travel distance equal to λ will be 4t. Therefore, the period of the wave is 4t. Hence, the frequency is \[\frac {1}{4t}\].