The masses and radii of the earth and the Moon are $M_{1}$ , $R_{1}$ and $M_{2}, R_{2}$ respectively. Their centres are a distance $d$ apart. The minimum speed with which a particle of mass $m$ should be projected from a point midway between teh two centres so as to escape to infinity is $n \sqrt{\frac{G (M_{1} + M_{2})}{d}}$ . The value of $n$ is:

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From the law of energy conservation-12mv2-x2212-GM1md-2-x2212-GM2md-2-0v22-2G-M1-M2-dv-2-x221A-G-M1-M2-dAnswer is 2-x221A-G-M1-M2-d-

The masses and radii of the earth and the Moon are M1, R1 and M2,R2 respectively. Their centres are a distance d apart. The minimum speed with which a particle of mass m should be projected from a point midway between teh two centres so as to escape to infinity is n√G(M1+M2)d. The value of n is: