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A satellite is moving round the earth. I...

A satellite is moving round the earth. In order to make it move to infinity, it velocity must be increased by:

A

`82.8%`

B

`41.4%`

C

`20.7%`

D

It is not possible to do so.

Text Solution

Verified by Experts

The correct Answer is:
B
`v_(0)=sqrt(gR), v_(e )=sqrt(2gR)`
`therefore` % increase in velocity `=(v_(e )-v_(0))/(v_(0)) xx 100`
`=(sqrt(2gR)-sqrt(gR))/(sqrt(gR)) xx 100=41.4%`
So the correct choice is (b).
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