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Question

A 9kg mass is moved from 9RE to 18RE from Earth’s center. What is the change in potential energy? (ME\=6×1024kg,RE\=6.4×106m,G\=6.67×10−11N m2/kg2)

Options

Choose one · Correct answer highlighted

Explanation

ΔV = −GMEm(1r2−1r1). r1 = 5.76×107m, r2 = 1.152×108m. ΔV = −6.67×10−11×6×1024×9(11.152×108−15.76×107). ΔV = −3.602×1015(−8.681×10−9)≈3.13×107J. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.1 × 10⁷ J. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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