The bridge of a sonometer is slightly displaced so that the length of wire is decreased by `0.5%` and tension in the wire is increased by `1%`. The fundamental frequency of wire

Options

A. increases by `1%`
B. decreases by `1%`
C. increases by `1.5%`
D. decreases by `1.5%`

Answer

A

Explanation

`n prop (sqrt(T))/(l)implies(Deltan)/(n)=(1)/(2)(DeltaT)/(T)-(Deltal)/(l)`