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# 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)The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is 4√GMLThe minimum initial velocity of the mass m to escape the gravitational field of the two bodies is 2√GML.The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is√2GMLThe 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
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#### −2GMmL+12mv2=0

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