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Question: Answered & Verified by Expert
A particle is kept at rest at a distance R (Earth's radius) above the earth's surface. The minimum speed with which it should be projected so that it does not return is
PhysicsGravitationNEET
Options:
  • A GM 4R
  • B GM 2R
  • C GM R
  • D 2GM R
Solution:
2792 Upvotes Verified Answer
The correct answer is: GM R
According to the conservation of energy,

K.E.= U G

1 2 m v 2 = GMm R+h

1 2 m v 2 = GMm R+R = GMm 2R

Therefore, the escape velocity is,

v= GM R

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