Match List I with List II.
$$\begin{array}{|l|l|l|l|}\hline & \text{List I} & & \text{List II} \\ \hline \text{A.} & \text{Torque} & \text{I.} & [\text{M}\text{L}\text{T}^{-2}\text{A}^{-2}] \\ \hline \text{B.} & \text{Magnetic field} & \text{II.} & [\text{L}^2\text{A}] \\ \hline \text{C.} & \text{Magnetic moment} & \text{III.} & [\text{M}\text{T}^{-2}\text{A}^{-1}] \\ \hline \text{D.} & \text{Permeability of free space} & \text{IV.} & [\text{M}\text{L}^2\text{T}^{-2}] \\ \hline \end{array}$$
Choose the correct answer from the options given below:
Answer: (C) A-IV, B-III, C-II, D-I
- Torque $= $ force × distance: $[\text{M}\text{L}^2\text{T}^{-2}]$ → IV
- Magnetic field, from $F = qvB$: $[\text{M}\text{T}^{-2}\text{A}^{-1}]$ → III
- Magnetic moment $= IA$: $[\text{L}^2\text{A}]$ → II
- $\mu_0$, from $B = \dfrac{\mu_0I}{2\pi r}$: $[\text{M}\text{L}\text{T}^{-2}\text{A}^{-2}]$ → I
Solution by Sreeraj P, M.Sc Physics