Question

A pipe open at both ends has a fundamental frequency f in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental frequency of the air column is now equal to ______.

Options

• `f/2`

• f

• `(3f)/2`

• 2f

Answer 1

A pipe open at both ends has a fundamental frequency f in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental frequency of the air column is now equal to f.

Explanation:

Given: f = `v/(2l)`

After dipping the open pipe, the pipe becomes one end close pipe of length 1/2. So, the new fundamental frequency,

`f' = v/(4(l/2))`

= `v/(2l)`

= f