RAJASTHAN ­ PET Rajasthan PET Solved Paper-2002

  • question_answer
    The ratio of radii to the gravitational acceleration of planets X and Y are R and a respectively. The ratio of escape velocities at them, is

    A)  \[\sqrt{aR}\]                  

    B)  \[\frac{1}{\sqrt{aR}}\]

    C)  \[aR\]            

    D)  \[\frac{1}{aR}\]

    Correct Answer: A

    Solution :

     \[{{v}_{e}}\propto \sqrt{gR}\] Given\[\frac{{{R}_{1}}}{{{R}_{2}}}=R\]and\[\frac{{{g}_{1}}}{{{g}_{2}}}=a\] \[\therefore \] \[\frac{{{({{v}_{e}})}_{x}}}{{{({{v}_{e}})}_{y}}}=\sqrt{\frac{{{g}_{1}}{{h}_{1}}}{{{g}_{2}}{{h}_{2}}}}=\sqrt{aR}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner