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

  • question_answer
    A particle executes SHM in a line 4 cm long. Its velocity when passing through the centre of line is 12 cm/s. The period will be                                                         [Pb. PET 2000]

    A)            2.047 s                                    

    B)            1.047 s

    C)            3.047 s                                    

    D)            0.047 s

    Correct Answer: B

    Solution :

                       Length of the line = Distance between extreme positions of oscillation = 4 cm   So, Amplitude \[a=2\,cm.\]                                  also \[{{v}_{max}}=12\,cm/s.\]                    \[\because {{v}_{\max }}=\omega a=\frac{2\,\pi }{T}a\]            \[\Rightarrow T=\frac{2\,\pi a}{{{v}_{max}}}\]\[=\frac{2\times 3.14\times 2}{12}\]\[=1.047\,\sec \]


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