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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 44

  • question_answer
    By what percentage the energy of a satellite has to be increased to shift it from an orbit of radius r to\[\left( \frac{3}{2} \right)r\]?

    A) 66.7 %           

    B)        33.3 %

    C) 75 %             

    D)        20.3 %

    Correct Answer: B

    Solution :

    [b] \[{{E}_{1}}=-\frac{GMm}{2r}\] \[{{E}_{2}}=-\frac{GMm}{2\times \frac{3}{2}\times r}=-\frac{GMm}{3r}\] % increase in energy \[=-\frac{\frac{GMm}{3r}+\frac{GMm}{2r}}{-\frac{GMm}{2r}}\times 100\] \[=-\frac{\frac{GMm}{6r}}{\frac{-GMm}{2r}}=\frac{100}{3}%\] = 33.33 %


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