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Physics · 2019

JEE Main · 10 January 2019, Shift 2 · Q8

Two stars of masses 3 × 10^31 kg each, and at distance 2 × 10^11 m rotate in a plane about their common centre of mass O. A meteorite passes through…

Two stars of masses $\displaystyle 3 \times 10^{31} \mathrm{~kg}$ each, and at distance $\displaystyle 2 \times 10^{11} \mathrm{~m}$ 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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