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(D) $1$. Permeability of free space $(\mu_0)$: From $B = \frac{\mu_0 I}{2 \pi r}$,we have $[\mu_0] = [\frac{B \cdot r}{I}] = [\frac{(M T^{-2} A^{-1})

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$(A)-(III), (B)-(II), (C)-(IV), (D)-(I)$

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(D) $1$. Permeability of free space $(\mu_0)$: From $B = \frac{\mu_0 I}{2 \pi r}$,we have $[\mu_0] = [\frac{B \cdot r}{I}] = [\frac{(M T^{-2} A^{-1}) \cdot L}{A}] = [M L T^{-2} A^{-2}]$. Thus,$(A)-(III)$.$2$. Magnetic field $(B)$: From $F = qvB$,we have $[B] = [\frac{F}{qv}] = [\frac{M L T^{-2}}{A T \cdot L T^{-1}}] = [M T^{-2} A^{-1}]$. Thus,$(B)-(II)$.$3$. Magnetic moment $(M)$: $M = I \cdot A$,where $I$ is current and $A$ is area. So,$[M] = [A \cdot L^2] = [L^2 A]$. Thus,$(C)-(IV)$.$4$. Torsional constant $(c)$: From $	au = c 	heta$,where $	au$ is torque and $	heta$ is dimensionless angle,$[c] = [	au] = [M L^2 T^{-2}]$. Thus,$(D)-(I)$.

List-$I$	List-$II$
$(A)$ Permeability of free space	$(I) \ [M L^2 T^{-2}]$
$(B)$ Magnetic field	$(II) \ [M T^{-2} A^{-1}]$
$(C)$ Magnetic moment	$(III) \ [M L T^{-2} A^{-2}]$
$(D)$ Torsional constant	$(IV) \ [L^2 A]$

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Match List-$I$ with List-$II$.List-$I$List-$II$$(A)$ Permeability of free space$(I) \ [M L^2 T^{-2}]$$(B)$ Magnetic field$(II) \ [M T^{-2} A^{-1}]$$(C)$ Magnetic moment$(III) \ [M L T^{-2} A^{-2}]$$(D)$ Torsional constant$(IV) \ [L^2 A]$Choose the correct answer from the options given below: