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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2010

  • question_answer
    If an earth satellite of mass m orbiting at a distance 2 R from the centre of earth has to be transferred into the orbit of radius 3 R, the amount of energy required is (R = radius of earth)

    A)  \[mgR\]              

    B)         \[\frac{mgR}{3}\]

    C)  \[\frac{mgR}{2}\]           

    D)         \[\frac{mgR}{12}\]

    E)  \[\frac{mgR}{9}\]

    Correct Answer: D

    Solution :

     Energy require = Final energy - initial energy \[=-\frac{GMm}{2(3R)}-\left[ \frac{GMm}{2(2R)} \right]\] \[=\frac{GMm}{2(3R)}-\left[ -\frac{1}{2}-\frac{1}{3} \right]\] \[=\frac{GMm}{12R}=\frac{g{{R}^{2}}m}{12R}\] \[=\frac{mgR}{12}\]


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