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On meltng of ice on the pole of the eart...

On meltng of ice on the pole of the earth, its moment of inertia will :-

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Statement-1 : If earth shrink (without change in mass) to half of its present size, length of the day would become 6 hours. Statement-2 : When the size of the earth will change, its moment of inertia will also change.

On account of melting of ice at the north pole the moment of inertia of spinning earth -

On account of melting of ice at the north pole, the moment of inertia of spinning earth

Assertion : If the ice on the polar caps of the earth melts, then length of day will increase. Reason : Moment of inertia of the earth increases, as ice on polar caps melts.

(A) : If earth shrink to half its present size, length of the day would become 6 hours. (R ) : As size of the earth changes is moment of inertia changes.

Explain with reason why if ice melts at pole then moment of inertia of earth increases, angular velocity omega decreases and day night will be longer?