Question

A quantity X is defined as the ratio of the angular to linear momentum of an object. Then the dimensions of X are -

• A. $M^0{L}^1{T}^0$
• B. $M^1{L}^1{T}^1$
• C. $M^1{L}^2{T}^{-2}$
• D. $M^0{L}^{-1}{T}^0$

Answer 1

The correct option is A $M^0{L}^1{T}^0$

Given :
$X=\frac{L}{P}=\frac{mvr}{mv}$
Dimensions of X are $M^{0}L{T}^0$.