A geostationary satellite is revolving aro

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

A

$100$

B

$41.4$

C

$50$

D

$59.6$

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

${v_e} = \sqrt 2 {v_0} = 1.414\;{v_0}$
Fractional increase in orbital velocity $\left( {\frac{{\Delta v}}{v}} \right)$
$ = \frac{{{v_e} - {v_0}}}{{{v_0}}} = 0.414$
Percentage increase $= 41.4\%$