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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 13

  • question_answer
    The ratio \[\frac{g}{gh},\] where g and \[{{g}_{h}}\] are the accelerations due to gravity at the surface of the earth and at a height h above the earth's surface respectively, is

    A) \[{{\left( 1+\frac{h}{R} \right)}^{2}}\]              

    B) \[{{\left( 1+\frac{R}{h} \right)}^{2}}\]

    C) \[{{\left( \frac{R}{h} \right)}^{2}}\]                  

    D) \[{{\left( \frac{h}{R} \right)}^{2}}\]

    Correct Answer: A

    Solution :

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


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