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If ve is escape velocity and v0 is orbital velocity of a satellite for orbit close to the earth’s surface, then these are related by :

1. v0 = √2 ve
2. v0 = ve
3. ve = √2 v0
4. ve = 2 v0

Correct answer: ve = √2 v0

Solution

The escape velocity (ve) is related to the orbital velocity (v0) by the equation ve = √2 v0. This is derived from the fact that escape velocity is the minimum velocity required to overcome Earth's gravitational pull, which is √2 times the orbital velocity for a satellite near the Earth's surface.

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