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

  • question_answer
    A weightless spring which has a force constant oscillates with frequency n when a mass m is suspended from it. The spring is cut into two equal halves and a mass 2m is suspended from it. The frequency of oscillation will now become                    [CPMT 1988]

    A)            \[n\]                                        

    B)            \[m\left( g+\sqrt{\frac{{{\pi }^{2}}}{2}gh} \right)\]

    C)            \[n/\sqrt{2}\]                      

    D)            \[n{{(2)}^{1/2}}\]

    Correct Answer: A

    Solution :

               \[n=\frac{1}{2\pi }\sqrt{\frac{k}{m}}\]Þ\[\frac{n}{{{n}'}}=\sqrt{\frac{k}{m}\times \frac{{{m}'}}{{{K}'}}}\]\[=\sqrt{\frac{k}{m}\times \frac{2m}{2K}}=1\]Þ \[{n}'=n\]


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