An artificial satellite is moving in a circular orbit around the earth with a speed equal to half the escape velocity from the earth of radius R. The
An artificial satellite is moving in a circular orbit around the earth with a speed equal to half the escape velocity from the earth of radius R. The height of the satellite above the surface of the earth is
A. R
B. R/2
C. 3 R
D. 6 R
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Correct Answer - a
`v_(c)=(1)/(2)v_(e)`
`sqrt((GM)/(R+h))=(1)/(2)sqrt((2GM)/(R))`
`(GM)/(R+h)=(1)/(4)xx(2GM)/(R)`
`R+h=2R`
`h=2R-R=R.`
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