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)

The minimum initial velocity of the mass m to escape the gravitational field of the two bodiesis $$4 \sqrt{\frac{GM}{L}}$$

The minimum initial velocity of the mass m to escape the gravitational field of the two bodiesis $$2 \sqrt{\frac{GM}{L}}$$

The minimum initial velocity of the mass m to escape the gravitational field of the two bodiesis $$\sqrt{\frac{2GM}{L}}$$

The energy of the mass m remains constant.