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Two bodies, each of mass M, are kept fix...

Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m is projected from the midpoint of the line joining their cehntres, perpendicualr to the line. The gravitational constant is G. The correct statement (s) is (are)

A

The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is `4sqrt((GM)/L)`.

B

The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is `2sqrt((GM)/L)`.

C

The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is `sqrt((2GM)/L)`.

D

The energy of the mass m remains constant.

Text Solution

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The correct Answer is:
B, D
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