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Question

If the earth suddenly becomes a thin shell of same radius the length of a day becomes

A
24 hr
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B
6 hr
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C
72hr
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D
40hr
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Solution

The correct option is A 24 hr

Moment of inertia of sphere =25MR2

Moment of inertia of shell =23MR2

T2I

TsphereTshell=25MR223MR2

24Tshell=35

Tshell=30hours(Approx)


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