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NEET Sample Paper NEET Sample Test Paper-56

  • question_answer
    The energy required to move a satellite of mass m from orbit of radius 2R to 3R around earth of mass M is:

    A) \[\frac{GMm}{12R}\]                

    B) \[\frac{GMm}{R}\]

    C) \[\frac{GMm}{8R}\]                  

    D) \[\frac{GMm}{2R}\]

    Correct Answer: A

    Solution :

    [a]
    \[KE=\frac{1}{2}\frac{mGM}{R}PE=-\frac{GMm}{R}\] \[TE=\frac{GMm}{2R}-\frac{GMm}{R}=-\frac{GMm}{2R}\]
                                        \[T{{E}_{1}}=\frac{-\,GMm}{2R}=-\frac{GMm}{4R}\] \[T{{E}_{2}}=\frac{-\,GMm}{2\,(3R)}=-\frac{GMm}{6R}\] \[\Delta TE=\frac{GMm}{6R}-\left[ -\frac{GMm}{4R} \right]\] \[\frac{GMm}{R}\left[ \frac{1}{4}-\frac{1}{6} \right]\] \[\frac{GMm}{12R}\]


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