Q.

The radius and mass of earth are increased by 0.5%. Which of the following statements are true at the surface of the earth

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a

g will increase

b

g will decrease

c

Escape velocity will remain unchanged

d

Potential energy will remain unchanged

answer is B.

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Detailed Solution

g=GMR2,ve=2GMR and U=−GMmR∴g∝MR2,ve∝MR and U∝MRIf both mass and radius are increased by 0.5% then ve and U remains unchanged where as g decrease by 0.5%.
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