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Gravitation question

2020 · 6 Sep · Shift 2 · Q54
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  5. /2020 · 6 Sep · Shift 2 · Q54

Gravitation question

2020 · 6 Sep · Shift 2 · Q54

JEE MainPhysicsGravitationMCQ+4 / −1
Two planets have masses M and 16 M and their radii are aaa and 2 aaa, respectively. The separation between the centres of the planets is 10 aaa. A body of mass m is fired from the surface of the larger planet towards the smaller planet along the line joining their centres. For the body to be able to reach at the surface of smaller planet, the minimum firing speed needed is :
  1. A
    2GMa2\sqrt {{{GM} \over a}}2aGM​​
  2. B
    GM2ma\sqrt {{{G{M^2}} \over {ma}}}maGM2​​
  3. C
    325GMa{3 \over 2}\sqrt {{{5GM} \over a}}23​a5GM​​
  4. D
    4GMa4\sqrt {{{GM} \over a}}4aGM​​
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