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Question

Question: The dimension of the ratio of angular to linear momentum is...

The dimension of the ratio of angular to linear momentum is

A

M0L1T0M^{0}L^{1}T^{0}

B

M1L1T1M^{1}L^{1}T^{- 1}

C

M1L2T1M^{1}L^{2}T^{- 1}

D

M1L1T1M^{- 1}L^{- 1}T^{- 1}

Answer

M0L1T0M^{0}L^{1}T^{0}

Explanation

Solution

Angular momentumLinear momentum=mvrmv=r=[M0L1T0]\frac{\text{Angular momentum}}{\text{Linear momentum}} = \frac{mvr}{mv} = r = \lbrack M^{0}L^{1}T^{0}\rbrack