A) \[\upsilon =\frac{GMm}{r}\]
B) \[\upsilon =\frac{Gm}{r}\]
C) \[{{\upsilon }^{2}}=\frac{Gm}{r}\]
D) \[\upsilon =\frac{Gm}{r}\]
Correct Answer: C
Solution :
Here : Radius of orbit \[=r\] Mass of the satellite\[=m\] Mass of the planet\[~=M\] Velocity of satellite \[=v\] when a satellite moves in an orbit. Its gravitational force is balanced by the centripetal force, thus, \[\frac{GMm}{{{r}_{2}}}=\frac{m{{\upsilon }^{2}}}{r}\] (where G is universal constant) Or \[{{\upsilon }^{2}}=\frac{GM}{r}\]You need to login to perform this action.
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