JEE Main & Advanced AIEEE Solved Paper-2007

  • question_answer
    The displacement of an object attached to a spring and executing simple harmonic motion is given by\[2x+3y+z=1\]\[x+3y+2z=2\] metre. The time at which the maximum speed first occurs is       AIEEE  Solved  Paper-2007

    A)  0.5 s                                     

    B)  0.75 s   

    C)         0.125s                 

    D)         0.25s

    Correct Answer: A

    Solution :

    To determine the position, velocity etc; at first, we write the general representation of wave and then compare the given wave equation with the general wave equation. Given,                   \[\sqrt{5}\] This gives,           \[\frac{1}{2}(\sqrt{5}-1)\] At \[{{\sin }^{-1}}\left( \frac{x}{5} \right)+co{{\sec }^{-1}}\left( \frac{5}{4} \right)=\frac{\pi }{2},\] \[x\] i.e., the object is at positive extreme, so to acquire maximum speed (i.e., to reach mean position) it takes \[{{(a-b)}^{n}},n\ge 5,\]th of time period. \[\therefore \]  Required time\[\frac{a}{b}\] Where, \[\frac{5}{n-4}\] \[\frac{6}{n-5}\]               \[\frac{n-5}{6}\] So, required time \[\frac{n-4}{5}\]


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