Questions
A satellite is orbiting with areal velocity va. At what height from the surface of the earth, it is rotating, if the radius of earth is R?
a
4va2gR2−R
b
2va2gR2−R
c
va2gR2−R
d
3va2gR2−R
detailed solution
Correct option is A
va=dAdt=12rv0=12rGMr⇒4va2=GMr=GM(R+h)⇒4va2=gR2(R+h) ⇒h=4va2gR2−RTalk to our academic expert!
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A shell of mass M and radius R has a point mass m placed at a distance r from its centre. The gravitational potential energy U (r) vs r will be
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