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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

`24 xx 10^(4) m//s`

B

`1.4 xx 10^(5) m//s`

C

`3.8 xx 10^(4) m//s`

D

`2.8 xx 10^(5) m//s`

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Knowledge Check

  • Two stars of masses m_(1) and m_(2) distance r apart, revolve about their centre of mass. The period of revolution is :

    A
    `2pisqrt(r^3/(2G(m_1+m_2)))`
    B
    `2pisqrt((r^3(m_1+m_2))/(2G(m_1m_2)))`
    C
    `2pisqrt((2r^3)/(G(m_1+m_2)))`
    D
    `2pisqrt((r^3)/(G(m_1+m_2)))`
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