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If vₑ is escape velocity and vₙ is orbital velocity of a satellite

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

Options

(a) v(o) = √2 vₑ
(b) v(o) = vₑ
(c) vₑ = √(2 v(o))
(d) vₑ = √2 v(o)

Correct Answer:

vₑ = √2 v(o)

Explanation:

vₑ = √(2GM / R)
v(o) = √(GM / R)
vₑ = √2 v(o)

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