Q.

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 increase.

b

g will decrease.

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=2GMR

and                      U=-GMmR

  gMR2,veMR and UMR

If 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.

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