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

  • question_answer
    The scale of a spring balance reading from 0 to 10 kg is 0.25 m long. A body suspended from the balance oscillates vertically with a period of \[\pi /10\] second. The mass suspended is (neglect the mass of the spring)  [Kerala (Engg.) 2001]

    A)            10 kg                                       

    B)            0.98 kg

    C)            5 kg                                          

    D)            20 kg

    Correct Answer: B

    Solution :

                       Using \[F=kx\] \[\Rightarrow 10g=k\times 0.25\Rightarrow k=\frac{10g}{0.25}=98\times 4\]                    Now \[T=2\pi \sqrt{\frac{m}{k}}\Rightarrow m=\frac{{{T}^{2}}}{4{{\pi }^{2}}}k\]            \[\Rightarrow m=\frac{{{\pi }^{2}}}{100}\times \frac{1}{4{{\pi }^{2}}}\times 98\times 4=0.98\ kg\]


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