Two stars of masses $3 \times 10 ^ { 31 } \mathrm {~kg}$ each, and at distance $2 \times 10 ^ { 11 } \mathrm {~m}$ rotate in a plane about their common centre of mass O. A meteorite passes through O moving perpendicular to the stars' 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 $G = 6.67 \times 10 ^ { - 11 } \mathrm {~N} \mathrm {~m} ^ { 2 } \mathrm {~kg} ^ { - 2 }$)
(1) $2.4 \times 10 ^ { 4 } \mathrm {~m} \mathrm {~s} ^ { - 1 }$
(2) $3.8 \times 10 ^ { 4 } \mathrm {~m} \mathrm {~s} ^ { - 1 }$
(3) $2.8 \times 10 ^ { 5 } \mathrm {~m} \mathrm {~s} ^ { - 1 }$
(4) $1.4 \times 10 ^ { 5 } \mathrm {~m} \mathrm {~s} ^ { - 1 }$