When the radius and mass of earth are increased by 0.5%. Which of the following statement is correct at the surface of the earth?
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a
g will decrease.
b
g will increase.
c
Escape velocity varies by 15%.
d
Potential energy varies by 19.99%.
answer is A.
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Detailed Solution
As we know that, g=GMR2,ve=2GMRand U=-GMmR∴ g∝MR2,ve∝MR and U∝MRIf both mass and radius are increased by 0.5%, then escape velocity and potential energy remains unchanged, whereas g decreases by 0.5%.Thus, option (a) is correct but rest are incorrect.