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Question

A geostationary satellite is revolving around the earth. To make it escape from gravitational field of the earth, its velocity must be increased by

A

21.3%

B

41.4%

C

75.3%

D

100%

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Solution

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Correct option is B)

Escape velocity, $v e = 2 \cdot v_{0} = 1414 v_{0}$
Fractional increase In orbital velocity $\frac{Δ v}{v}$
$= \frac{v _{e} - v _{0}}{v _{0}} = 0.414$
$∴$ Percentage increase $= 41.4$ %

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