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JEE Main & Advanced Sample Paper JEE Main Sample Paper-9

  • question_answer
    How much energy would be spent to pull the satellite out of the earth's gravitational field if the earth shrank suddenly to half its present size (Assume satellite is orbiting in an orbit of radius R + h where R is radius of earth & h is height of satellite, from earth's surface).

    A) \[\frac{GmM}{2{{(R+h)}^{2}}}\]                               

    B) \[\frac{GmM}{4{{(R+h)}^{2}}}\]

    C) \[\frac{GmM}{2(R+h)}\]                              

    D) \[\frac{GmM}{4(R+h)}\]

    Correct Answer: C

    Solution :

    \[{{E}_{i}}=-\frac{GMm}{2(R+h)}\] \[{{E}_{f}}=-\frac{GMm}{2(R+h)}\] So energy required to remove the satellite from gravitational influence of earth is\[\frac{GMm}{2(R+h)}\]


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