Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AIIMS 2013
Exam
AIIMS
Year
2013
Subject
Physics
Chapter
Gravitation

AIIMS 2013 · Physics · Gravitation

Gravitational potential of the body of mass m at a height h from...

Gravitational potential of the body of mass mm at a height hh from surface of earth of radius RR is (Take g=g= acceleration due to gravity at earth's surface)

Options

  1. A−g(R+h)-g(R+h)
  2. B−g(R−h)-g(R-h)
  3. Cg(R+h)g(R+h)
  4. Dg(R−h)g(R-h)

Correct answer

B. −g(R−h)-g(R-h)

Step-by-step solution

If a point mass m is placed at a height h from surface of earth, the potential energy is Uh=−GMm(R+h)=−gR2mR(1+hR)=−gR2mR(1+hR)−1(∵g=GMR2)Uh=−gR2m(R−h)R2=−gm(R−h)∴V=Uhm=−gm(R−h)m=−g(R−h)U_h=-\frac{G M m}{(R+h)}=\frac{-g R^2 m}{R\left(1+\frac{h}{R}\right)}=\frac{-g R^2 m}{R}\left(1+\frac{h}{R}\right)^{-1}\left(\because g=\frac{G M}{R^2}\right) U_h=\frac{-g R^2 m(R-h)}{R^2} =-g m(R-h) \therefore \quad V=\frac{U_h}{m}=\frac{-g m(R-h)}{m}=-g(R-h)
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 AIIMS PYQs