JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Critical Thinking

  • question_answer
    A large horizontal surface moves up and down in SHM with an amplitude of 1 cm. If a mass of 10 kg (which is placed on the surface) is to remain continually in contact with it, the maximum frequency of S.H.M. will be [SCRA 1994; AIIMS 1995]

    A)            0.5 Hz                                      

    B)            1.5 Hz

    C)            5 Hz                                          

    D)            10 Hz

    Correct Answer: C

    Solution :

                       For body to remain in contact \[{{a}_{\max }}=g\]                    \[\therefore {{\omega }^{2}}A=g\Rightarrow 4{{\pi }^{2}}{{n}^{2}}A=g\]            \[\Rightarrow {{n}^{2}}=\frac{g}{4{{\pi }^{2}}A}=\frac{10}{4{{(3.14)}^{2}}0.01}=25\] \[\Rightarrow n=5\ Hz\]


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