NEET Physics Simple Harmonic Motion NEET PYQ-Simple Harmonic Motion

  • 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:                                                                                              [AIPMT (S) 2005]

    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,     \[{{u}_{\max }}\,=\text{ }31.4\text{ }cm/s,\text{ }a=5cm\]
    Substituting, the given values, we have
    \[n=\frac{31.4}{2\times 3.14\times 5}=1\,Hz\]


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