JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Motion Under Gravity

  • question_answer
    Two bodies of different masses \[{{m}_{a}}\] and \[{{m}_{b}}\] are dropped from two different heights \[a\] and \[b\]. The ratio of the time taken by the two to cover these distances are  [NCERT 1972; MP PMT 1993]

    A)             \[a:b\]  

    B)             \[b:a\]

    C)             \[\sqrt{a}:\sqrt{b}\]    

    D)             \[{{a}^{2}}:{{b}^{2}}\]

    Correct Answer: C

    Solution :

                    \[h=\frac{1}{2}g{{t}^{2}}\Rightarrow t=\sqrt{2h/g}\]             \[{{t}_{a}}=\sqrt{\frac{2a}{g}}\,\,\text{and}\ \,{{t}_{b}}=\sqrt{\frac{2b}{g}}\Rightarrow \frac{{{t}_{a}}}{{{t}_{b}}}=\sqrt{\frac{a}{b}}\]


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