If `C` is the restoring couple per unit radian twist and `I` is the moment of inertia, then the dimensional representation of `2pisqrt(I/(c))` will be :

Options

A. `[M^(0)L^(0)T^(0)]`
B. `[M^(0)L^(0)T^(1)]`
C. `[M^(0)L^(1)T^(-1)]`
D. `[M^(1)L^(2)T^(-2)]`

Answer

B

Explanation

Here `2pisqrt((I)/(C))` will have the dimensions of time period
`I=ML^(2)` and `C=ML^(2)T^(-2)`
`:.sqrt((I)/(C))=(T^(2))^(1//2)=T^(1)`
Hence `(b)` is correct.