NEET AIPMT SOLVED PAPER SCREENING 2005

  • question_answer
                    Particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is:           

    A)                                                                                                                            3 Hz       

    B)                 2 Hz       

    C)                 4 Hz                       

    D)                 1 Hz

    Correct Answer: D

    Solution :

                    Maximum speed of a particle executing SHM is                 \[{{u}_{\max }}=a\,\omega \,=a\,(2\pi n)\]                         \[\Rightarrow n=\frac{{{u}_{\max }}}{2\pi a}\]                 Here, \[{{u}_{\max }}\] = 31.4 cm/s, a= 5cm                 Substituting, the given values, we have                 \[n=\frac{31.4}{2\times 3.14\times 5}=1\,Hz\]


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