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JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Acceleration Due to Gravity

  • question_answer
    At what altitude in metre will the acceleration due to gravity be 25% of that at the earth's surface (Radius of earth = R metre)                              [ISM Dhanbad 1994]

    A)             \[\frac{1}{4}R\]         

    B)             R

    C)             \[\frac{3}{8}R\]         

    D)             \[\frac{R}{2}\]

    Correct Answer: B

    Solution :

                    \[g'=g{{\left( \frac{R}{R+h} \right)}^{2}}\]Þ \[\frac{g}{4}=g{{\left( \frac{R}{R+h} \right)}^{2}}\]Þ \[\frac{1}{2}=\frac{R}{R+h}\] Þ\[R+h=2R\]\ \[h=R\]


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