hey look..........
learn.........
V = -gGM/ (
[ 2]
(x
2 + R
2))
WHERE X---- distance from ring.........
now..........use conservation of energy
U(initial)=U(final)+ 1/2mv2
-GMm / (
[2 ]
(R
2+R
2) = - G M m / R + 1/2 m v
2 cancelling m............
and simplifying ..........we get...........
GM/R - GM/
[ 2]
2R = 1/2 v
2 simplifying it we get.............
v= sqrt[ {2-sqrt(2)} * GM/R]
hence option d is correct..............
hope u unferstands.
thanku