Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2019
Exam
NEET
Year
2019
Subject
Physics
Chapter
Gravitation

NEET 2019 · Physics · Gravitation

The work done to raise a mass m from the surface of the earth to a...

The work done to raise a mass mm from the surface of the earth to a height hh, which is equal to the radius of the earth is:

Options

  1. AmgRmgR
  2. B2mgR2mgR
  3. C12mgR\dfrac{1}{2}mgR
  4. D32mgR\dfrac{3}{2}mgR

Correct answer

C. 12mgR\dfrac{1}{2}mgR

Step-by-step solution

W=Uf−UiW = {U}_{f} - {U}_{i}
=−GMm2R−(−GMmR)= \dfrac{- GMm}{2R} - \left(\dfrac{- GMm}{R}\right)
=GMm2R= \dfrac{GMm}{2R}
W=12mgRW = \dfrac{1}{2}mgR \left(∵ \dfrac{GM}{{R}^{2}} = g\right)
Practice Gravitation on Quantrex Academy →

More from Gravitation

The amount of work done to raise a mass ' m ' from the surface of the Earth to a height… NEET 2026Two planets P_1 and P_2 with equal mass have radii R_1 and R_2 , respectively, where… NEET 2026In a solar system, the time-period of revolution of a planet tracing a circular orbit of… NEET 2026The radius of Martian orbit around the Sun is about 4 times the radius of the orbit of… NEET 2025A body weighs 48 N on the surface of the earth. The gravitational force experienced by… NEET 2025The escape velocity for earth is v . A planet having 9 times mass that of earth and… NEET 2024The mass of a planet is (1)/(10) th that of the earth and its diameter is half that of… NEET 2024An object of mass 100 kg falls from point A to B as shown in figure. The change in its… NEET 2024 Full Gravitation list All NEET PYQs