Two stars of masses 3x10^31 kg each, and at distance 2 X 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 (Take Gravitational constant G =6.67 X 10^-11Nm^2kg^-2) - VgyanHub

Question:

Two stars of masses 3×10³¹ kg each, and at distance 2 X 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 X 10^-11Nm²kg^-2)

Options :

(a) 3.8 x 10^4 m/s
(b) 1.4 x 10^5 m/s
(c) 2.8 x 10^5 m/s
(d) 2.4 x 10^4 m/s

Answer :

(c) 2.8 x 10⁵ m/s

Answer Steps :

step 1

step 2

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