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Question

Two bodies, each of mass M, are kept fixed at a separation 2L. 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. The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is 4GML
  2. The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is 2GML.
  3. The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is2GML
  4. The energy of the mass m remains constant.

A
The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is 4GML
B
The energy of the mass m remains constant.
C
The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is2GML
D
The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is 2GML.
Solution
Verified by Toppr

2GMmL+12mv2=0

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