A) \[\pi {{R}^{4}}\sigma \omega \]
B) \[\frac{\pi {{R}^{4}}}{2}\sigma \omega \]
C) \[\frac{\pi {{R}^{4}}}{4}\sigma \omega \]
D) \[2\pi {{R}^{4}}\sigma \omega \]
Correct Answer: C
Solution :
\[\frac{q}{2M}=\frac{Magnetic\,dipole\,moment}{Angular\,momentum}\] \[\therefore \]Magnetic dipole moment (M) \[M=\frac{q}{2M}.\left( \frac{M{{R}^{2}}}{2} \right).\omega \] \[=\frac{1}{4}\sigma .\pi {{R}^{4}}\omega .\]You need to login to perform this action.
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