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By which curve will be variation of grav...

By which curve will be variation of gravitational potential of a hollow sphere of radius R with distance be depicted ?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
C
For hollow sphere
`V_("in")=(-GM)/(R),V_("surface")=(-GM)/(R),V_("out")=(-GM)/(r)`
i.e., potential remains constant inside the sphere and it is equal to potential at the surface and increase when he point moves away from the surface of sphere.
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Knowledge Check

  • By which curve will the variation of gravitational potential of a hollow sphere of radius R with distance be depicted

    A
    B
    C
    D

  • Gravitational force is a conservation and medium independent force. Its nature is attractive. Gravitational field intensity and gravitational potential gives information about gravitational fied in vector and scaler form respectively. Actually gravitational fied intensity is equal to the negative of the negative of teh potential gradient. potential energy is defined for only conservation force. it is also equal to the total energy in escaping condition. gravitational potential is either negative or zero but can never be positive due to attractive nature of gravitational force. The gravitational potential inside a hollow sphere (mass M , radius R ) at a distance r from the centre is:

    A
    zero
    B
    `-(GM)/R`
    C
    `-(GM)/r`
    D
    `-(GM)/(r^(2))`

  • The diagram showing the variation of gravitational potential of earth with distance from the centre of earth is

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