JEE Main & Advanced Sample Paper JEE Main Sample Paper-33

  • question_answer
    The amplitude of a clamped oscillator decreases to half of its original length in 2 sec. then in next 4 sec. it becomes \[\alpha \] times of original amplitude where a will be:

    A)  \[\frac{1}{8}\]  

    B)                     \[\frac{1}{4}\]

    C)  \[\frac{1}{16}\]

    D)                     \[\frac{1}{32}\]

    Correct Answer: A

    Solution :

    Like radioactivity \[N={{N}_{0}}\,{{\left( \frac{1}{2} \right)}^{{{t}_{1/2}}}}\]             We can use \[A={{A}_{0}}\,{{\left( \frac{1}{2} \right)}^{\frac{t}{{{t}_{1/2}}}}}\] \[{{t}_{1/2}}\] is time in which amplitude is reduced to half of its initial value. In this case it is 2             Now \[A={{A}_{0}}\,{{\left( \frac{1}{2} \right)}^{\frac{2+4}{2}}}=\frac{1}{8}\,{{A}_{0}}\]j


You need to login to perform this action.
You will be redirected in 3 sec spinner