Question

Which one of the following does not have the same dimensions

• A. Work and energy
• B. Angle and strain
• C. Relative density and refractive index
• D. Plank constant and energy

Answer 1

The correct option is D Plank constant and energy

The work and energy have the same dimensions whereas the option $B$ and $C$ have the quantities which are dimensionless.

For option $D$:-

[Planck constant]=$\left[M{L}^2{T}^{-1}\right]$

and [Energy]=$\left[M{L}^2{T}^{-2}\right]$

So, option $D$ is correct.