Two stars of masses 3 $ \times $ 1031 kg each, and at distance 2 $ \times $ 1011 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; G = 6.67 $ \times $ 10–11 Nm2 kg–2)

Question

Two stars of masses 3 $ \times $ 10³¹ kg each, and at distance 2 $ \times $ 10¹¹ 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; G = 6.67 $ \times $ 10^–11 Nm² kg^–2)

2.4 $ \times $ 10⁴ m/s

1.4 $ \times $ 10⁵ m/s

3.8 $ \times $ 10⁴ m/s

2.8 $ \times $ 10⁵ m/s

Solution

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