Question

Two quantities $A$ and $B$ are related by the relation $\frac{A}{B}$ $=m$ , where $m$ is linear mass density and $A$ is force. The dimensions of $B$ will be

• A. Same as that of latent heat
• B. Same a that of pressure
• C. Same as that of work
• D. Same as that of momentum

Answer 1

Answer: (A)

$\left[B\right]=\frac{\left[A\right]}{\left[m\right]}$
$\left[B\right]=\left[\frac{force}{mass/length}\right]$
$\left[\text{B}\right]=\left[\frac{force\times length}{mass}\right]=\left[\frac{energy}{mass}\right]=$ $[latentheat]$