Question

Two quantities $A$ and $B$ are related by $A/B=m$ where $m$ is linear mass density and $A$ is force. The dimensions of $B$ will be same as that of

• A. pressure
• B. work
• C. momentum
• D. latent heat

Answer 1

The correct option is D latent heat

$\because \frac{A}{B}=m\therefore B=\frac{A}{m}$

$\Rightarrow \left[B\right]=\left[\begin{array}{c}\frac{ML{T}^{-2}}{M{L}^{-1}}\end{array}\right]=\left[L^2{T}^{-2}\right]=latentheat$