RAJASTHAN PMT Rajasthan - PMT Solved Paper-2001

  • question_answer
    Two bodies A and B are revolving round a planet. Radius of As orbit is 4R and that of Bs orbit is R, if speed of A is \[3\upsilon \] then speed b   of B is:

    A)  \[12\,\upsilon \]                             

    B)         \[6\,\upsilon \]  

    C)  \[\frac{4}{3}\upsilon \]                                

    D)         \[\frac{3}{2}\upsilon \]

    Correct Answer: D

    Solution :

    Orbital velocity \[\upsilon \propto \sqrt{R}\] \[\Rightarrow \]               \[\begin{align}   & \frac{\upsilon A}{\upsilon B}=\sqrt{\frac{{{R}_{A}}}{{{R}_{B}}}} \\  & \frac{{{3}_{\upsilon }}}{{{\upsilon }_{B}}}\sqrt{\frac{4R}{R}} \\  & {{\upsilon }_{B}}=\frac{3}{2}\upsilon  \\ \end{align}\]


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