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Gravitation question

2013 · Shift 2 · Q42
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Gravitation question

2013 · Shift 2 · Q42

JEE AdvancedPhysicsGravitationMultiple correct+3 / −0.75
Two bodies, each of mass M, are kept fixed with a separation 2L2L2L. A particle of mass m is projected from the midpoint of the line joining their centres, perpendicular to the line. The gravitational constant is G. The correct statement(s) is (are)
  1. A
    The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is 4GML4\sqrt {{{GM} \over L}}4LGM​​
  2. B
    The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is 2GML2\sqrt {{{GM} \over L}}2LGM​​
  3. C
    The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is 2GML\sqrt {{{2GM} \over L}}L2GM​​
  4. D
    The energy of the mass m remains constant.
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