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

  • question_answer
    Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configurations (i), (ii) and (iii) are in the ratio      [AMU 1995]

    A)            \[1:\sqrt{2}:\frac{1}{\sqrt{2}}\]                                       

    B)            \[2:\sqrt{2}:\frac{1}{\sqrt{2}}\]

    C)            \[\frac{1}{\sqrt{2}}:2:1\] 

    D)            \[2:\frac{1}{\sqrt{2}}:1\]

    Correct Answer: A

    Solution :

               \[T\propto \frac{1}{\sqrt{k}}\]Þ \[{{T}_{1}}:{{T}_{2}}:{{T}_{3}}=\frac{1}{\sqrt{k}}:\frac{1}{\sqrt{k/2}}:\frac{1}{\sqrt{2k}}=1:\sqrt{2}:\frac{1}{\sqrt{2}}\]


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