9th Class Science Gravitation and Floatation Question Bank Gravitation Summative Objective Problems

  • question_answer
    The depth from the surface of the earth it which the acceleration due to gravity will be 75% of the value on the surface of the earth, (radius of the earth = R)

    A)  R/4       

    B)  3R/4

    C)  R/2                       

    D)  R/8

    Correct Answer: A

    Solution :

      At depth ?d? from the surface of the earth, \[g'=g\left( 1-\frac{d}{R} \right)\] Given \[g'=\frac{75}{100}g\Rightarrow g'=\frac{3g}{4},\]then \[\frac{3g}{4}=g\left( 1-\frac{d}{R} \right)\]which gives\[d=R/4.\]            


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