question_answer

Two stars of masses \[3\times {{10}^{31}}kg\] each, and at distance \[2\times {{10}^{11}}m\] 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 \[G=6.67\times {{10}^{-11}}\] \[N{{m}^{2}}k{{g}^{-2}}\])

A) \[2.4\times {{10}^{4}}m/s\]

B) \[1.4\times {{10}^{5}}m/s\]

C) \[3.8\times {{10}^{4}}m/s\]   

D) \[2.8\times {{10}^{5}}m/s\]