The dimensional formula for the ratio of angular to linear momentum is

Options

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

Answer

b

Explanation

Angular momentum (L) = `Iomega=mr^(2)xx(v)/(r)=mvr` and Linear momentum (P) = mv
`therefore (L)/(P)=(mvr)/(mv)=r`
`therefore [(L)/(P)]=[M^(0)L^(1)T^(0)]`