The length and diameter of a metal wire is doubled the fundamental frequency of vibration will change from n to (tension being kept constant and material of both the wires is same)

Options

A. `(n)/(4)`
B. `(n)/(8)`
C. `(n)/(12)`
D. `(n)/(16)`

Answer

A

Explanation

`(n.)/(n)=(l)/(l.)xx(r)/(r.)=(l)/(2l)xx(r)/(2r)=(1)/(4)impliesn.=(n)/(4)`