2. Solved Papers
  3. CMC Medical

CMC Medical CMC-Medical VELLORE Solved Paper-2009

  • question_answer
    By what percent the energy of a satellite has to be increased to shift it from an orbit of radius r to 3/2 r?

    A)  15%                                      

    B)  20.3%

    C)  66.7%                                  

    D)  33.33%

    Correct Answer: D

    Solution :

                     Binding energy of satellite in the first case is \[=\frac{GMm}{2r}\] where r is the radius of orbit. In second case \[BE=\frac{GMm}{2\times \frac{3r}{r}}\] \[\therefore \]  \[\Delta E=\frac{GMm}{r}\left( \frac{1}{2}-\frac{1}{3} \right)=\frac{GMm}{6r}\] % increase in energy of a satellite \[=\frac{\frac{GMm}{6r}}{\frac{GMm}{2r}}\times 100\] \[=\frac{2}{6}\times 100=33.33%\]


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