Q. If earth suddenly stops rotating about its own axis, the increase in it’s temperature will be
A) $\frac{R^{2}\omega^{2}}{5Js}$
B) $\frac{R^{2}\omega^{2}}{Js}$
C) $\frac{Rm\omega^{2}}{5Js}$
D) None of these
Explanation
(a) $W = JQ \Rightarrow \frac{1}{2}I\omega^{2} = J(MS\mathrm{\Delta}\theta)$
$\Rightarrow \frac{1}{2}\left( \frac{2}{5}MR^{2} \right)\omega^{2} = J(MS\mathrm{\Delta}\theta) \Rightarrow \mathrm{\Delta}\theta = \frac{1}{5}\frac{R^{2}\omega^{2}}{JS}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.