JEE Main Physics question

Physics Gravitation JEE Main

The radius and mass of the earth are increased by . Which of the following statements are true at the surface of the earth? [Roorkee 2000]

(A) will increase
(B) will decreaseCorrect
(C)Escape velocity will remain unchangedCorrect
(D)Potential energy (per unit mass, ) will remain unchangedCorrect

Answer: (B),(C),(D)

Solution

, , and . If both and are scaled by the same factor , then (and hence and ) is unchanged,

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Question ID VK-154760