If the ice on the polar caps of the Earth melts, the duration of day will (a) Decrease (b) Remai

step 1 In this question, we have to determine the effect on the duration of the day, that is time perio

If the ice on the polar caps of the Earth melts, the...

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Key Concepts

Angular Momentum Conservation

This concept states that in a closed system with no external torques, the total angular momentum remains constant. When the distribution of mass within a rotating body such as the Earth changes, any increase in the moment of inertia forces a corresponding decrease in rotational speed to keep angular momentum conserved.

Moment of Inertia

The moment of inertia is a measure of how an object's mass is distributed relative to its axis of rotation. Changes in mass distribution, such as the shifting of water from polar ice caps towards lower latitudes when ice melts, lead to alterations in the moment of inertia, which in turn can affect the rotational speed.

Mass Redistribution

Mass redistribution refers to the process by which mass within a system shifts position. In the context of Earth's polar ice melting, the movement of water from the concentrated polar regions outward changes the distribution of mass relative to the Earth's axis, which impacts the moment of inertia and consequently the rotation rate and duration of a day.

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