Question

A pipe closed at one end produces a fundamental note of frequency 'v'. It is cut into two pipes of equal length. The fundamental frequencies produced in the two pipes are ______.

Options

• `"v"/2,  `2v

• v, 2v

• 2v, 4v

• `"v"/2,  `v

Answer 1

A pipe closed at one end produces a fundamental note of frequency 'v'. It is cut into two pipes of equal length. The fundamental frequencies produced in the two pipes are 2v, 4v.

Explanation:

`"v"="v"/(4L)`

`"v"_1="v"/(2(L/2))="v"/"L"=4"v"`

`"v"_2="v"/(4(L/2))="v"/"L"=2"v"`