Home
Class 12
PHYSICS
If g be the acceleration due to gravity ...

If g be the acceleration due to gravity of the earth's surface, the gain is 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

A

`1/2m gR`

B

2mgR

C

mgR

D

`1/4`mgR

Text Solution

Verified by Experts

The correct Answer is:
A
`DeltaU=(-(GMm)/(2R))-(-(GMm)/R) =(GMm)/(2R) = (mgR)/2`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    VMC MODULES ENGLISH|Exercise JEE Advance (Archive) MULTIPLE OPTIONS CORRECT TYPE|5 Videos

  • GRAVITATION

    VMC MODULES ENGLISH|Exercise JEE Advance (Archive)ASSERTIOIN AND REASON|1 Videos

  • GRAVITATION

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|43 Videos

  • GASEOUS STATE & THERMODYNAMICS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE )|111 Videos

  • INTRODUCTION TO VECTORS & FORCES

    VMC MODULES ENGLISH|Exercise JEE Advanced ( ARCHIVE LEVEL-2)|12 Videos

Similar Questions

Explore conceptually related problems

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

If an object of mass m is taken from the surface of earth (radius R) to a height 5R, then the work done is

If the acceleration due to gravity at the surface of the earth is g, the work done in slowly lifting a body ofmass m from the earth's surface to a height R equal to the radius of the earth is

If g is the acceleration due to gravity on the surface of the earth , its value at a height equal to double the radius of the earth is

The potential energy of a satellite of mass m revolving at height R above the surface of the earth where R= radius of earth is

The change in the gravitational potential energy when a body of a mass m is raised to a height nR above the surface of the earth is (here R is the radius of the earth)

Find the change in the gravitational potential energy when a body of mass m is raised to a height nR above the surface of the earth. (Here, R is the radius of the earth)

How is the acceleration due to gravity on the surface of the earth related to its mass and radius ?

If R is the radius of the earth and g the acceleration due to gravity on the earth's surface, the mean density of the earth is

Gravitational potential energy of body of mass m at a height of h above the surface of earth (M = mass of earth , R = radius of earth) is