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9th Class Science Gravitation and Floatation Question Bank Gravitation IIT JEE Objective Problems

  • question_answer
    Two bodies of different masses\[{{m}_{a}}\] and\[{{m}_{b}}\] are dropped from two different heights viz a and b. Ratio of times taken by the two, to drop through these distances is

    A)  a : b                                      

    B)  \[\sqrt{b}:\sqrt{a}\]  

    C)  \[\sqrt{a}:\sqrt{b}\]      

    D)  \[{{a}^{2}}:{{b}^{2}}\]

    Correct Answer: C

    Solution :

      Time taken to reach the ground from height \[t=\sqrt{\frac{2h}{g}}\] \[{{t}_{a}}=\sqrt{\frac{2a}{g}}\] \[{{t}_{b}}=\sqrt{\frac{2b}{g}}\]                \[\frac{{{t}_{a}}}{{{t}_{b}}}=\frac{\sqrt{a}}{\sqrt{b}}\]   


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