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Where is the gravitational field zero an...

Where is the gravitational field zero and where is the gravitational potential zero, in case of Earth?

Text Solution

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Gravitational field at a point is zero both at the centre of Earth and infinity. Gravitational potential at a point is zero infinity.
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Gravitational Potential At A Point Due To The Earth

Find the gravitational potential at a point where the gravitational field intensity is zero due to two particles of masses m_(1)=1kg and m_(2)=4kg separated through a distance l=3m ?

Knowledge Check

  • In a gravitational field, at a point where the gravitational potential is zero

    A
    The gravitational field is necessarily zero
    B
    The gravitational field is not necessarily zero
    C
    Nothing can be said definitely about the gravitational field
    D
    None of these

  • In some region, the gravitational field is zero. The gravitational potential in this region

    A
    Must be variable
    B
    Must be constant
    C
    Cannot be zero
    D
    Must be zero

  • Two bodies of masses M_(1) and M_(2) , are placed at a distance R apart. Then at the position where the gravitational field due to them is zero, the gravitational potential is

    A
    `-G(sqrtM_(1))/R`
    B
    `-G(sqrtM_(2))/R`
    C
    `-(sqrtM_(1)+sqrtM_(2))^(2)G/R`
    D
    `-(sqrtM_(1)-sqrtM_(2))^(2)G/R`

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    Two particles of masses 'm' and '9m' are separated by a distance 'r'. At a point on the line joining them the gravitational field is zero. The gravitational potential at that point is (G = Universal constant of gravitation)

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    The bodies of mass m and 4m are placed at a distance of 6m apart. P is the point on the line joining two bodies where gravitational field is zero. The gravitational potential at this point is

    Assertion : Two spherical shells have masses m_(1) and m_(2) . Their radii are r_(1) and r_(2) . Let r be the distance of a point from centre. Then gravitational field strength and gravitational potential both are equal to zero for O lt r lt r_(1) Reason : In the region r_(1) lt r lt r_(2) , gravitational field strength due to m_(2) is zero. But gravitational potential due to m_(2) is constant (but non-zero).

    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. Gravitational potential versus distance r graph is represented in figure. The magnitude of gravitational field intensity is equal to

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