Gravitation 2 Question 1
4. 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 Earth. The escape velocity from Earth’s gravitational field is . 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)
(a)
(b)
(c)
(d)
(2017 Adv.)
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Answer:
Correct Answer: 4. (c)
Solution:
- Given,
From energy conservation,
Here,
Given,