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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%
Medium
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Solution
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Correct option is B)
Escape velocity,
$ve=2 ⋅v_{0}=1414v_{0}$
Fractional increase In orbital velocity
$vΔv $
$=v_{0}v_{e}−v_{0} =0.414$
$∴$
Percentage increase
$=41.4$
%
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