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Question

Question: The dimensions of power are...

The dimensions of power are

A

M1L2T−3M^{1}L^{2}T^{- 3}

B

M2L1T−2M^{2}L^{1}T^{- 2}

C

M1L2T−1M^{1}L^{2}T^{- 1}

D

M1L1T−2M^{1}L^{1}T^{- 2}

Answer

M1L2T−3M^{1}L^{2}T^{- 3}

Explanation

Solution

Power = Work doneTime=[ML2T−2T]=[ML2T−3]\frac{\text{Work done}}{\text{Time}} = \left\lbrack \frac{ML^{2}T^{- 2}}{T} \right\rbrack = \lbrack ML^{2}T^{- 3}\rbrack