JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Time Period and Frequency

  • question_answer
    A particle moves such that its acceleration a is given by \[a=-bx\], where x is the displacement from equilibrium position and b is a constant. The period of oscillation is                   [NCERT 1984; CPMT 1991; MP PMT 1994; MNR 1995; UPSEAT 2000]

    A)            \[2\pi \sqrt{b}\]                  

    B)            \[\frac{2\pi }{\sqrt{b}}\]

    C)            \[\frac{2\pi }{b}\]               

    D)            \[2\sqrt{\frac{\pi }{b}}\]

    Correct Answer: B

    Solution :

                       In the given case, \[\frac{Displacement}{Acceleration}=\frac{1}{b}\] \ Time period \[T=2\pi \sqrt{\frac{Displacement}{Acceleration}}=\frac{2\pi }{\sqrt{b}}\]


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