A geostationary satellite is revolving around earth. To make it escape from gravitational field of e

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7.Gravitation

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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

$59.6$

Solution

$v_{e}=\sqrt{2} v_{0}=1.414 v_{0}$

Fractional increase in orbital velocity $\left(\frac{\Delta v}{v}\right)$

$=\frac{v_{e}-v_{0}}{v_{0}}=0.414$

Percentage increase $=41.4 \%$

Standard 11

Physics

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