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

  • question_answer
    The ratio of frequencies of two pendulums are 2 : 3, then their length are in ratio                                             [DCE 2005]

    A)            \[\sqrt{2/3}\]                       

    B)            \[\sqrt{3/2}\]

    C)            \[4/9\]                                    

    D)            \[9/4\]

    Correct Answer: D

    Solution :

               Frequency \[n\propto \frac{1}{\sqrt{\text{l}}}\]Þ \[\frac{{{n}_{1}}}{{{n}_{2}}}=\sqrt{\frac{{{l}_{2}}}{{{l}_{1}}}}\]Þ\[\frac{{{l}_{1}}}{{{l}_{2}}}=\frac{n_{2}^{2}}{n_{1}^{2}}=\frac{{{3}^{2}}}{{{2}^{2}}}=\frac{9}{4}\]


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