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

  • question_answer
    An object falls through a distance h in certain time on the earth. The same object falls through a distance 4h in the same time on a planet. If 'g' is acceleration due to gravity on the earth, acceleration due to gravity on that planet is

    A)  g/4       

    B)  4 g   

    C)  g/2                       

    D)  2 g

    Correct Answer: A

    Solution :

       Using, \[h=\frac{1}{2}g{{t}^{2}},\frac{{{h}_{p}}}{{{h}_{e}}}=\frac{{{g}_{p}}}{{{g}_{e}}}\times \frac{t_{p}^{2}}{t_{e}^{2}}\]but given that \[{{t}_{p}}={{t}_{e}}\,\,\,\therefore \,\,\,\frac{h}{4h}=\frac{{{g}_{p}}}{g}\Rightarrow {{g}_{p}}=\frac{g}{4}\]


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