| ASSERTION: When radius of circular wire carrying current becomes half its magnetic moment becomes four times. |
| REASON: Magnetic moment does not depend on area of the loop. |
A) If both assertion and reason are true and reason is the correct explanation of assertion.
B) If both assertion and reason are true and reason is not the correct explanation of assertion.
C) If assertion is true but reason is false.
D) If both assertion and reason are false.
E) If assertion is false but reason is true.
Correct Answer: D
Solution :
Magnetic dipole moment of the current loop - ampere turns \[\times \]area of the coil. So \[M=NIK\,\,\pi {{r}^{2}}\] \[{{M}_{1}}=NI\pi {{\left( \frac{r}{2} \right)}^{2}}=\frac{M}{4}\] So magnetic moment becomes one fourth when radius becomes half.
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