Student Login

Home›Chapters›Gravitation PYQs›Gravitational Potential & Energy›Question 37

JEE Main 2004 (AIEEE) · Gravitational Potential & Energy

Gravitational Potential & Energy question from JEE Main 2004 (AIEEE)

Q37JEE Main 2004 · AIEEEEasy

Gravitational Potential & Energy

If $g$ is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass $m$ raised from the surface of the earth to a height equal to the radius $R$ of the earth is

Show answer and solution

Answer: (c)

$\Delta U = \frac{mgh}{1+\frac{h}{R}}$
With $h = R$ : $\Delta U = \frac{mgR}{2}$
So the answer is (c) $\frac{1}{2}mgR$ .

Report a mistake

More questions on Gravitational Potential & Energy

A body of mass m is placed on earth's surface which is taken from earth surface to a…NEET 2002 (AIPMT)
A body of mass m is taken from earth surface to a height h equal to twice the radius of…MHT CET 2026 (16 Apr, Shift 2)
The amount of work done to raise a mass ' m ' from the surface of the Earth to a height…NEET 2026
A body of mass m is taken from the surface of earth to a height equal to twice the radius…JEE Main 2026 (5 Apr, Shift 2)
Two particles of masses m and M are placed a distance d apart. The gravitational…MHT CET 2026 (14 May, Shift 1)
Three masses 200 kg, 300 kg and 400 kg are placed at the vertices of an equilateral…JEE Main 2026 (24 Jan, Shift 1)
The magnitude of gravitational potential energy of a body at a distance ' R ' from the…MHT CET 2025 (22 Apr, Shift 2)
The gravitational potential at a point above the surface of earth is -5.12 × 10⁷ J/kg and…JEE Main 2024 (30 Jan, Shift 1)