JEE Advanced 2017 Physics question
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 times heavier than the Earth and is at a distance times larger than the radius of the Earth. The escape velocity from Earth's gravitational field is km s. The minimum initial velocity () 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*)
Answer: (B)
Solution
The rocket must overcome the potential energy due to both bodies: , with and . The second term is
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