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A body of mass m rises to a height h=R//...

A body of mass `m` rises to a height `h=R//5` from the earth's surface where `R` is earth's radius. If `g` is acceleration due to gravity at the earth's surface, the increase in potential energy is

A

`mgh`

B

`4/5 mgh`

C

`5/6 mgh`

D

`6/7 mgh`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • A body of mass m rises to a height h=R/5 from the surface of earth. If g is the acceleration due to gravity at the surface of earth, the increase in potential energy is (R = radius of earth)

    A
    `4/5 mgR`
    B
    `5/6 mgR`
    C
    `6/7 mgR`
    D
    `mgR`

  • 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

    A
    `(4piG)/(3gR)`
    B
    `(3piR)/(4gG)`
    C
    `(3g)/(4piRG)`
    D
    `(piR)/(12G)`

  • 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

    A
    `4pi G//3gR`
    B
    `3pi R//4gG`
    C
    `3g//4pi RG`
    D
    `pi Rg//12G`
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