Match List-I with List-II.
$$\begin{array}{l|l} \textbf{List-I} & \textbf{List-II} \\ \hline \text{A. Coefficient of viscosity} & \text{I. } [\mathrm{ML^2T^{-2}}] \\ \text{B. Surface tension} & \text{II. } [\mathrm{ML^2T^{-1}}] \\ \text{C. Angular momentum} & \text{III. } [\mathrm{ML^{-1}T^{-1}}] \\ \text{D. Rotational kinetic energy} & \text{IV. } [\mathrm{ML^0T^{-2}}] \end{array}$$
Answer: (C) A-III, B-IV, C-II, D-I
- Viscosity: $\eta = \dfrac{F}{A\,(dv/dx)}$ gives $[\mathrm{ML^{-1}T^{-1}}]$ → III.
- Surface tension: force per length gives $[\mathrm{MT^{-2}}]$ → IV.
- Angular momentum $mvr$: $[\mathrm{ML^2T^{-1}}]$ → II.
- Rotational KE $\tfrac12 I\omega^2$: $[\mathrm{ML^2T^{-2}}]$ → I.
So A-III, B-IV, C-II, D-I.
Solution by Sreeraj P, M.Sc Physics