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If the earth shrinks such that its densi...

If the earth shrinks such that its density becomes `8` times to the present values, then new duration of the day in hours will be

A

24

B

12

C

6

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Given `m_(1)=m_(2)impliesV_(1)d_(1)=V_(2)d_(2)`
`impliesR_(1)^(3)d_(1)=R_(2)^(3)d_(2)impliesR_(1)=2R_(2)`
From law of conservation of angular momentum
`I_(1)omega_(1)=I_(2)omega_(2)=(T_(2))/(T_(1))=((R_(2))/(R_(1)))^(2)`
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Knowledge Check

  • If the earth suddenly charges its radius x times the present value, the new period of rotation would be

    A
    `6x^(2)h`
    B
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    C
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    D
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    B
    `6h`
    C
    `3//2 h`
    D
    `3h`

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    increases
    B
    decreases
    C
    remains same
    D
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