JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Spring Pendulum

  • question_answer
    A mass m performs oscillations of period T when hanged by spring of force constant K. If spring is cut in two parts and arranged in parallel and same mass is oscillated by them, then the new time period will be [CPMT 1995; RPET 1997; RPMT 2003]

    A)            2T

    B)            T

    C)            \[\frac{T}{\sqrt{2}}\]

    D)            \[\frac{T}{2}\]

    Correct Answer: D

    Solution :

               \[T\propto \frac{1}{\sqrt{k}}\] Þ \[\frac{{{T}_{2}}}{{{T}_{1}}}=\sqrt{\frac{{{K}_{1}}}{{{K}_{2}}}}\]\[=\sqrt{\frac{k}{4k}}=\frac{1}{2}\]Þ \[{{T}_{2}}=\frac{{{T}_{1}}}{2}\]


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