# A solid conducting sphere of radius R and total charge q rotates about its diametric axis with constant angular speed ω….

Q. A solid conducting sphere of radius R and total charge q rotates about its diametric axis with constant angular speed ω . The magnetic moment of the sphere is

(a) $\displaystyle \frac{1}{3} q R^2 \omega$

(b) $\displaystyle \frac{2}{3} q R^2 \omega$

(c) $\displaystyle \frac{1}{5} q R^2 \omega$

(d) $\displaystyle \frac{2}{5} q R^2 \omega$

Ans: (c)

Sol:

$\displaystyle \frac{M}{L} = \frac{q}{2m}$