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If the radius of the earth were to shrin...

If the radius of the earth were to shrink by one per cent, its mass remaining the same, the accleration due to gravity on the earth's surface would

A

decrease

B

remain unchanged

C

increase

D

be zero

Text Solution

Verified by Experts

The correct Answer is:
C
`g=(GM)/R^2, g' =(GM)/(0.99R)^2 " " therefore(g')/g =(R^2/(0.99R))^2 rArr` g' > g
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Knowledge Check

  • If the radius of the earth were to shrink by 1%, its mass remaining the same, the acceleration due to gravity on the earth's surface would

    A
    decrease by 1%
    B
    remain unchanged
    C
    increase by 1%
    D
    increase by 2%

  • If the radius of earth were to decrease by 1%, its mass remaining the same, the acceleration due to gravity on the surface of the earth will

    A
    increase by 1%
    B
    decrease by 2%
    C
    decrease by 1%
    D
    increase by 2%

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