If `x=k sin (k l t)`, where x is displacement and t is time then dimensional formula for l will be ` (k, l="constant")`

Options

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

Answer

C

Explanation

`[k]=L`
`[klt]=L^(0)T^(0)`
`L[l]T=L^(0)T^(0)rArr[l]=L^(-1)T^(-1)`