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JEE Main 2026 · 5 Apr · Shift 2, Physics question 32

A body of mass mm is taken from the surface of earth to a height equal to twice the radius of earth (ReR_e). The increase in potential energy will be ________.

(gg is acceleration due to gravity at the surface of earth)

Choose one option
Answer and worked solution

Official answer: D

Potential energy change.
ΔU=GMm(1Re−13Re)=23GMmRe=23mgRe.\Delta U=GMm\left(\frac1{R_e}-\frac1{3R_e}\right)=\frac23\frac{GMm}{R_e}=\frac23mgR_e.

(D)