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JEE Main 2023 (25 Jan, Shift 2) · Gravitational Potential & Energy

Gravitational Potential & Energy question from JEE Main 2023 (25 Jan, Shift 2)

Q9JEE Main 2023 · 25 JAN · SHIFT 2Easy

Gravitational Potential & Energy

A body of mass m is taken from earth surface to the height h equal to twice the radius of earth (Re{}_e ), the increase in potential energy will be:

(g = acceleration due to gravity on the surface of Earth)

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Answer: (d)

  1. ΔU=mgh1+hRe\Delta U = \frac{mgh}{1+\frac{h}{R_e}}
  2. With h=2Reh = 2R_e: ΔU=2mgRe3\Delta U = \frac{2mgR_e}{3}
  3. So the answer is (d) 23mgRe\frac{2}{3}mgR_e.
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