A) directly proportional to the length of the wire in the coil
B) inversely proportional to the length of the wire in the coil
C) directly proportional to the square of the length of the wire in the coil
D) inversely proportional to the square of the length of the wire in the coil
Correct Answer: C
Solution :
[c] \[M=NiA\Rightarrow M\propto A\Rightarrow M\propto {{r}^{2}}\] \[\left[ As\,\ell \,\,=2\pi r\Rightarrow \ell \propto r \right]\] \[\Rightarrow \,M\propto {{\ell }^{2}}\]
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