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

  • question_answer
    Two identical spring of constant K are connected in series and parallel as shown in figure. A mass m is suspended from them. The ratio of their frequencies of vertical oscillations will be             [MP PET 1993; BHU 1997]

    A)            2 : 1                                          

    B)            1 : 1

    C)            1 : 2                                          

    D)            4 : 1

    Correct Answer: C

    Solution :

               \[n=\frac{1}{2\pi }\sqrt{\frac{k}{m}}\] Þ \[\frac{{{n}_{S}}}{{{n}_{P}}}=\sqrt{\frac{{{k}_{S}}}{{{k}_{P}}}}\]\[\Rightarrow \] \[\frac{{{n}_{s}}}{{{n}_{p}}}=\sqrt{\frac{\left( \frac{k}{2} \right)}{2k}}=\frac{1}{2}\]


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