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Question

A thin horizontal circular disc is rotating about a vertical axis passing through its center. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc of reach its other end. During the journey of the insect, the angular speed of the disc:

A
remains unchanged
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B
continuously decreases
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C
continuously increases
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D
first increases and then decreases
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Solution

The correct option is D first increases and then decreases
Angular momentum L=Iω
L=mr2×ω
Since r first decrease then increases.
So due to conservation of angular momentum L first increases then decreases.

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