A rocket is launched normal to the surface of the Earth, away from the Sun, along the line joining the Sun and the Earth. The Sun is 3×105 times heavier than the Earth and
is at a distance 2.5×104 times larger than the radius of the Earth. The escape velocity from Earth's gravitational field is ve=11.2 km s−1 . The minimum initial velocity ( vs ) required for the rocket to be able to leave the Sun-Earth system is closest to (Ignore the rotation and revolution of the Earth and the presence of any other planet) [Adv. 2017]
a. vs=22 km s−1
b. vs=42 km s−1
c. vs=62 km s−1
d. vs=72 km s−1