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Manipal Medical Manipal Medical Solved Paper-2001

  • question_answer
    If r represents the radius of the orbit of the satellite of mass m moving around planet of mass M, then the velocity of satellite v is obtained from the relation:

    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 \[{{\upsilon }^{2}}=\frac{GM}{r}\]


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