The frequency `(n)` of vibration of a string is given as ` n = (1)/( 2 l) sqrt((T)/(m))` , where `T` is tension and `l` is the length of vibrating string , then the dimensional formula is

Options

A. `[M^(0)LT^(-1)]`
B. `[ML^'(0)T^(-1)]`
C. `[ML^(-1)T^(0)]`
D. `[M^(0)L^(0)T^(0)]`

Answer

c

Explanation

`v = (P)/(2l) [(F)/(M)]^(1//2)rArr v^(2) = (p^(2))/(4l^(2))[(F)/(M)] :. M prop (F)/(t^(2)v^(2))`
`rArr[m]= [(MLT^(-2))/(L^(2)T^(-2))] = [ML^(-1)T^(0)]`