JEE · NEET Previous Year Question

Two stars of masses $3\times 10^{31}\text{kg}$ each, and at distance $2\times 10^{11}m$ rotate in a plane about their common centre of mass $O$. A meteorite passes through $O$ moving perpendicular to the star's rotation plane. In order to escape from the gravitational field of this double star, the minimum speed that meteorite should have at $O$ is:\n(Take Gravitational constant $G=6.67\times 10^{-11}{\text{Nm}}^2{\text{kg}}^{-2}$)

Topic: JEE PYQ

Answer: D. Full step-by-step solution below.