Question

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

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

Answer 1

The correct option is D Same as that of latent heat

D. same as that of latent heat

Dimension of quantity $A$ is,

$\left[A\right]=\left[ML{T}^{-2}\right]$

Dimension of quantity $m$

$\left[m\right]=\left[M{L}^{-1}\right]$

The relation is $A/B=m$

$B=A/m$

The dimension of $B=$ dimension of $A/m$

$\left[B\right]=\left[L^2{T}^{-2}\right]$

and the dimension of latent heat is

$\left[L^2{T}^{-2}\right]$