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The acceleration due to gravity on the s...

The acceleration due to gravity on the surface of the earth is g. If a body of mass m is raised from the surface of the earth to a height equal to the radius R of the earth, then the gain in its potential energy is given by

A

`MgR_E`

B

`1/2 mg R_E`

C

`3/2 mgR_E`

D

`2/3 mg R_E`

Text Solution

Verified by Experts

The correct Answer is:
B
`1/2 mg R_E`
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Knowledge Check

  • If g is the acceleration due to gravity on earth's surface, the gain of 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
    2mgR
    B
    mgR
    C
    `(1)/(2)mgR`
    D
    `(1)/(4)mgR`

  • If 'g' 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)/(4)mgR`
    B
    `(1)/(2)mgR`
    C
    `2mgR`
    D
    `mgR`

  • When a body id lifted from surface of earth height equal to radius of earth, then the change in its potential energy is

    A
    `mg R`
    B
    `2mg R`
    C
    `(1)/(2) mg R`
    D
    `4mg R`

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