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

  • question_answer
    If the change in the value of g at a height h above the surface of earth is same as at a depth d below it, then (both d and h being much smaller than the radius of the earth).

    A)  d = h/2                

    B)  d = h 

    C)  d = 2h  

    D)  \[\text{d}={{\text{h}}^{\text{2}}}\]

    Correct Answer: C

    Solution :

       The acceleration due to gravity at height h will be, \[{{g}^{1}}=g\left( 1-\frac{2h}{R} \right).\]The acceleration due to gravity at depth d will be \[{{g}^{11}}=g\left( 1-\frac{d}{R} \right).\] As per question \[{{g}^{1}}={{g}^{11}}\Rightarrow \,\,d=2h\]          


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