Solveeit Logo

Question

Physics Question on Dimensional Analysis

The quantity which has the same dimensions as that of gravitational potential is

A

latent heat

B

impulse

C

angular acceleration

D

specific heat capacity

Answer

latent heat

Explanation

Solution

Dimensions of gravitational potential = Dimension of work  Dimension of mass =\frac{\text { Dimension of work }}{\text { Dimension of mass }} =[ML2T2][M]=[L2T2]=\frac{\left[ ML ^{2} T ^{-2}\right]}{[ M ]}=\left[ L ^{2} T ^{-2}\right] and dimension of latent heat = Dimensions of [Q] Dimensions of [M]=\frac{\text { Dimensions of }[ Q ]}{\text { Dimensions of }[ M ]} =[ML2T2][M]=\frac{\left[ ML ^{2} T ^{-2}\right]}{[ M ]} =[L2T2]=\left[ L ^{2} T ^{-2}\right]