Statement I: If two quantities have same dimensions, it is not necessary that they represent the sam

Question

Statement I: If two quantities have same dimensions, it is not necessary that they represent the same physical content.\ Statement II: The dimensions of pressure are $\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}ight]$.

Professor PC Thomas Classes · Answer

(a) : Both Statements I and II are correct. Although both work and torque have the same dimensions namely $\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]$, they represent different physical quantities.