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NEET AIPMT SOLVED PAPER SCREENING 2010

  • 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)        12 v                       

    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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