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JEE Main & Advanced Sample Paper JEE Main Sample Paper-33

  • question_answer
    What is the minimum energy required to launch a satellite of mass 'm? from surface of the planet of mass 'M' and radius 'R' in a circular orbit at an altitude '3R'.

    A)  \[\frac{GMm}{3R}\]      

    B)     \[\frac{GMm}{4R}\]

    C)  \[\frac{7GMm}{8R}\]

    D)     \[\frac{8GMm}{7R}\]

    Correct Answer: C

    Solution :

    Required energy             \[=T{{F}_{f}}-T{{E}_{i}}=-\,\left( \frac{-GMm}{2(3R+R)} \right)\,-\left( -\frac{GMm}{R} \right)\]             \[=-\,\frac{GMm}{8R}+\frac{GMm}{R}=\frac{7GMm}{8R}\]    


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