Question

The quantities $A$and $B$ are related by the relation, $m = A/B$, where $m$ is the linear density and $A$ is the force. The dimensions of $B$ are of

• A. Pressure
• B. Work
• C. Latent heat
• D. None of the above

Answer 1

Answer: (C)

Latent heat

Answer 2

$m$ = linear density = mass per unit length = $\left\lbrack \frac{M}{L} \right\rbrack$

A= force =$\lbrack MLT^{- 2}\rbrack\mspace{6mu}$ ∴ [B]=$\frac{\lbrack A\rbrack}{\lbrack m\rbrack} = \frac{\lbrack MLT^{- 2}\rbrack}{\lbrack ML^{- 1}\rbrack} = \lbrack L^{2}T^{- 2}\rbrack$

This is same dimension as that of latent heat.