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 for m is

Options

A. `ML^(@)T^(@)`
B. `M^(1)L^(-1)T^(@)`
C. `M^(@)L^(@)T^(@)`
D. `M^(@)L^(1)T^(1)`

Answer

B

Explanation

`M=1/(4l^(2))T/(n^(2)),M=1/(L^(2))(MLT^(-2))/(T^(-2))=M^(1)L^(1)T^(0)`