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Question

Physics Question on Power

Which of the following physical quantity has the dimensions of [ML2T−3][ML^2T^{-3}] ?

A

pressure

B

work

C

impulse

D

power

Answer

power

Explanation

Solution

Dimension of work (W)=(W)= force ×\times distance =[MLT−2][L]=[ML2T−2]=\left[ MLT ^{-2}\right][ L ]=\left[ ML ^{2} T ^{-2}\right], power (P)= work  time =[ML2T−2][T]=[ML2T3];(P)=\frac{\text { work }}{\text { time }}=\frac{\left[ ML ^{2} T ^{-2}\right]}{[ T ]}=\left[ ML ^{2} T ^{3}\right] ; pressure (p)= force  area =[ML2T−2][L2]=[ML−1T−2](p)=\frac{\text { force }}{\text { area }}=\frac{\left[ ML ^{2} T ^{-2}\right]}{\left[ L ^{2}\right]}=\left[ ML ^{-1} T ^{-2}\right] and impulse == force×\times time =[MLT−2][T]=[MLT−1].=\left[ MLT ^{-2}\right][ T ]=\left[ MLT ^{-1}\right] . Therefore power has the same dimension as given in the question.