AIIMS AIIMS Solved Paper-2015

  • question_answer
    A ball is dropped from a bridge 122.5m above a river. After the ball has been falling for 2s, a second ball is thrown straight down after it. What must the initial velocity of the second ball be so that both hit the water at the same time?

    A) 40m/s                  

    B) 55.5m/s

    C) 26.1 m/s              

    D)  9.6 m/s

    Correct Answer: C

    Solution :

    Let the ball hit water in t s. For first ball                 \[\Rightarrow \] \[\varepsilon =BA\omega \cos (\theta -\pi /2)\] \[{{f}_{0}}=\frac{1}{2\pi }\sqrt{\frac{1}{LC}-\frac{{{R}^{2}}}{{{L}^{2}}}}\] For second ball, \[\Rightarrow \] \[{{f}_{0}}=\frac{1}{2\pi }\sqrt{\frac{1}{LC}-\frac{{{R}^{2}}}{{{L}^{2}}}}\] \[=\frac{1}{2\times 3.14}\sqrt{\frac{1}{250\times {{10}^{-6}}\times 0.16\times 10-3}-\frac{20\times 20}{{{(0.16\times {{10}^{-3}})}^{2}}}}\]


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