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VMMC VMMC Medical Solved Paper-2012

  • question_answer
    The radii of circular orbits of two satellites A and B of the earth are 4R and R, respectively If  the speed of satellite A is 3v, then the speed of satellite B will be

    A) \[3v/4\]

    B)  \[6v\]

    C)  \[12v\]

    D)  \[3v/2\]

    Correct Answer: B

    Solution :

     Orbital velocity of satellite \[v=\sqrt{\frac{GM}{r}}\] \[\Rightarrow \] \[\frac{{{v}_{A}}}{{{v}_{B}}}=\sqrt{\frac{{{r}_{B}}}{{{r}_{A}}}}=\sqrt{\frac{R}{4R}}=\frac{1}{2}\] \[\therefore \] \[\frac{{{v}_{A}}}{{{v}_{B}}}=\frac{3v}{{{v}_{B}}}=\frac{1}{2}\] \[\therefore \] \[{{v}_{B}}=6v\]


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