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%.