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JEE Main & Advanced Sample Paper JEE Main Sample Paper-30

  • question_answer
    Ratio of gravitational acceleration due to the earth at height \[R/2\] to the acceleration at depth \[R/2\] will be : (R is radius of the earth)

    A)  \[\frac{8}{9}\]                 

    B)  \[\frac{7}{9}\]

    C)  \[\frac{5}{7}\]                                   

    D)  1

    Correct Answer: A

    Solution :

    \[g_{at\,height}^{'}=\frac{g}{\left( 1+\frac{h}{R} \right)}=\frac{g}{\left( 1+\frac{R}{2h} \right)}=\frac{4g}{9}\] \[g_{at\,\,depth}^{'}=g\left( 1-\frac{d}{R} \right)=g\left( 1-\frac{R}{2R} \right)=\frac{g}{2}\] Ratio \[=\frac{8}{9}\]                       


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