JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Self Evaluation Test - Gravitation

  • question_answer
    For a satellite orbiting in an orbit, close to the surface of earth, to escape, what is the percentage increase in the kinetic energy required?

    A) 41%

    B) 61%

    C) 81%

    D) 98%

    Correct Answer: A

    Solution :

    [a] Orbital velocity for close to earth orbits \[=\sqrt{gR}\]. Escape velocity required \[=\sqrt{2gR}\]. % Increase required \[=\frac{{{v}_{e}}-{{v}_{0}}}{{{v}_{0}}}\times 100\] \[=\frac{\sqrt{gR}\left( \sqrt{2}-1 \right)}{\sqrt{gR}}\times 100=41%\]


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