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Satellite Launch Vehicle and Jounney to PSLV

A geostationa...

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%

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B

41.4%

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C

75.3%

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D

100%

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Solution

The correct option is B 41.4%
Escape velocity, $v e = \sqrt{2} \cdot v_{0} = 1414 v_{0}$
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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