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JEE Main & Advanced Sample Paper JEE Main Sample Paper-21

  • question_answer
    What will be the amplitude after 8 minute of a damped harmonic oscillator while its initial amplitude is A and it becomes A/4 in 4 minute?

    A)  A/2                             

    B)  A/16

    C)  A/8                             

    D)  A/6

    Correct Answer: B

    Solution :

    Think like radioactive decay \[A'A={{e}^{-bt}}\] where b is damping factor. \[\frac{A}{4}\,=A{{e}^{-b4}}\] \[\frac{1}{4}={{e}^{-b4}}\] \[{{\left( \frac{1}{4} \right)}^{2}}\,={{\left( {{e}^{-b4}} \right)}^{2}}\] \[\left( \frac{A}{16} \right)=A\,\left( {{e}^{-b8}} \right)\]


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