Two bodies, each of mass \( M \), are kept fixed with a separation \( 2 L \). A particle of mass...
0Two bodies, each of mass \( M \), are kept fixed with a separation \( 2 L \). A particle of mass \( m \) is projected from the midpoint of the line joining their centers, perpendicular 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 \( 4 \sqrt{\frac{G M}{L}} \).
(B) The minimum initial velocity of the mass \( m \) to escape the gravitational field of the two bodies is \( 2 \sqrt{\frac{G M}{L}} \).
(C) The minimum initial velocity of the mass \( m \) to escape the gravitational field of the two bodies is \( \sqrt{\frac{2 G M}{L}} \).
(D) The energy of the mass \( m \) remains constant.
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