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Gravitation question

2018 · 15 Apr · Shift 1 · Q67
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Gravitation question

2018 · 15 Apr · Shift 1 · Q67

JEE MainPhysicsGravitationMCQ+4 / −1
A body of mass m is moving in a circular orbit of radius R about a planet of mass M. At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius R2,{R \over 2},2R​, and the other mass, in a circular orbit of radius 3R2{3R \over 2}23R​. The difference between the final and initial total energies is :
  1. A
    −GMm2R- {{GMm} \over {2R}}−2RGMm​
  2. B
    +GMm6R+ {{GMm} \over {6R}}+6RGMm​
  3. C
    GMm2R{{GMm} \over {2R}}2RGMm​
  4. D
    −GMm6R- {{GMm} \over {6R}}−6RGMm​
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