RAJASTHAN PMT Rajasthan - PMT Solved Paper-1995

  • question_answer
    A planet revolve round the sun in elliptical orbit when planet is nearest to sun at a distance \[a\] its velocity is \[\upsilon \] and when it is farthest from sun at a distance \[b,\] its velocity is:

    A) \[\frac{b}{a}{{\upsilon }_{1}}\]                                  

    B)        \[\left( \frac{a}{b} \right){{\upsilon }_{1}}\]        

    C)        \[\left( \frac{\sqrt{a}}{b} \right){{\upsilon }_{1}}\]                           

    D)        \[\frac{\sqrt{b}}{a}{{\upsilon }_{1}}\]

    Correct Answer: B

    Solution :

                    In ellptical orbit product of speed and distance from centre is constant. \[{{\upsilon }_{1}}a={{\upsilon }_{2}}b\]                 \[\therefore \]  \[{{\upsilon }_{2}}=\left( \frac{a}{b} \right){{\upsilon }_{1}}\]


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