Two stars of masses $3 \times 10^{31} \mathrm{~kg}$ each, and at distance $2 \times 10^{11} \mathrm{~m}$ 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:
(Take Gravitational constant
$$
\left.\mathrm{G}=6.67 \times 10^{-11} \mathrm{Nm}^2 \mathrm{~kg}^{-2}\right)
$$
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