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Two stars of masses 3 xx 10^(31) kg each...

Two stars of masses `3 xx 10^(31)` kg each, and at distance `2 xx 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 Graviational constant `G = 6.67 xx 10^(-11) Nm^(2) kg^(-2)`)

A

`2.4xx10^(4)ms^(-1)`

B

`3.8xx10^(4)ms^(-1)`

C

`2.8xx10^(5)ms^(-1)`

D

`1.4xx10^(5)ms^(-1)`

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The correct Answer is:
C
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Two stars of masses 3×10^31kg each, and at distance 2×10^11m 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=6.67×10^−11Nm^2kg^−2 )

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