Question

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

Answer 1

The correct option is A $\frac{R^2{\omega }^2}{5Js}$

It is known that $W=JQ\Rightarrow \frac{1}{2}l{\omega }^2=J\left(MS\Delta \theta \right)\Rightarrow \frac{1}{2}\left(\frac{2}{5}M{R}^2\right){\omega }^2$

Putting Vlaues according to question

$=J\left(MS\Delta \theta \right)\Rightarrow \Delta \theta =\frac{R^2{\omega }^2}{5Js}$