Gravitation Question 276

Question: A geostationary satellite is revolving around the earth. To make it escape from gravitational field of earth, is velocity must be increased[J&K CET 2005]

Options:

A) 100%

B) 41.4%

C) 50%

D) 59.6%

Show Answer

Answer:

Correct Answer: B

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%



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