1.

Read the paragraph and answer the following questions. Paragraph : Orbital velocity is defined as the velocity required to put the satellite into satellite into its orbit around the earth. An artificial satellite is moving in circular orbit around the earth with speed equal to half the value of escape velocity from the earth. The height of the satellite above the surface of earth is

Answer»

R
2R
3R
4R

Solution :We know that `v_(0)=sqrt((GM)/(R+h))`
Since `v_(0)=(1)/(2)v_(e )=(1)/(2) sqrt((2GM)/(R ))`
`THEREFORE (1)/(2)sqrt((2GM)/(R ))=sqrt((GM)/(R+h))`.
`R+h=2R rArr h = R`.
So CORRECT choice is a.


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