Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

Magnetic induction BBB:

From Lorentz force:

$$F=qvB\Rightarrow B=\frac{F}{qv}$$

$$[B]=\frac{MLT^{-2}}{(AT)(LT^{-1})}=[MT^{-2}A^{-1}]$$

So, (A) matches with (III)

Magnetic flux $$\Phi$$:

$$\Phi=B\cdot A$$

$$[\Phi]=[MT^{-2}A^{-1}]\cdot[L^2]=[ML^2T^{-2}A^{-1}]$$

So, (B) matches with (IV)

Magnetic permeability μ\muμ:

$$B=\mu\frac{I}{L}\Rightarrow\mu=\frac{BL}{I}$$

$$[\mu]=\frac{(MT^{-2}A^{-1})\cdot L}{A}=[MLT^{-2}A^{-2}]$$

So, (C) matches with (I)

Self inductance L:

$$\Phi=LI\Rightarrow L=\frac{\Phi}{I}$$

$$[L]=\frac{ML^2T^{-2}A^{-1}}{A}=[ML^2T^{-2}A^{-2}]$$

So, (D) matches with (II)

Final matching:

(A)−(III), (B)−(IV), (C)−(I), (D)−(II)