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

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

KEAMKEAM 2013Physical World, Units and Measurements

Solution:

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