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

Question

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

Tardigrade Admin · Accepted Answer

Dimensions of gravitational potential =( text Dimension of work / text Dimension of mass ) =([ ML 2 T -2]/[ M ])=[ L 2 T -2] and dimension of latent heat =( text Dimensions of [ Q ]/ text Dimensions of [ M ]) =([ ML 2 T -2]/[ M ]) =[ L 2 T -2]

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

latent heat

impulse

angular acceleration

specific heat capacity

Planck’s constant

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