Question

Select One Option Correct from the following : 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 centres, perpendicular to the line. The gravitational constant is G. The correct statement(s) is (are)
(A)The minimal initial velocity of the mass m to escape the gravitational $4\sqrt{\frac{GM}{L}}$
(B)The minimal initial velocity of the mass m to escape the gravitational $2\sqrt{\frac{GM}{L}}$
(C)The minimal initial velocity of the mass m to escape the gravitational $\sqrt{\frac{2GM}{L}}$
(D)The energy of the mass m remains constant

Answer 1

b is correct.
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Answer 2

(B)The minimal initial velocity of the mass m to escape the gravitational $2\sqrt{\frac{GM}{L}}$