Question

If polar ice caps melt, then the time duration of one day:

• A. Increases
• B. Decreases
• C. Does not change
• D. Depends on at what time the snow melts.

Answer 1

The correct option is A Increases

As ice melt at the pole, mast will flow away from the axis due to which moment of inertia will increase. Angular momentum is constant, as external torque is zero.
$\therefore L=$constant.
$\therefore I\omega =const.$
$\omega =\frac{2\pi }{T}$
$\frac{I}{T}=const.$
$\therefore I\propto T.$
$\therefore$ Time duration will increase as moment of inertia is get increased.