JEE Main & Advanced Sample Paper JEE Main - Mock Test - 37

  • question_answer
    Which of the following relations for the displacement of a particle undergoing simple harmonic motion is not correct dimensionally?

    A) \[y=a\,\,\sin \frac{2\pi t}{T}\]     

    B)        \[y=a\,\,\cos \,\,\omega t\]

    C) \[y=\frac{a}{T}\,\,\sin \,\,\left( \frac{t}{a} \right)\]

    D)        \[y=a\sqrt{2}\left( \sin \frac{2\pi t}{T}+\cos \frac{2\pi t}{T} \right)\]         

    Correct Answer: C

    Solution :

    Dimensions on RHS must be displacement [L]. Arguments of sine and cosine are dimensionless. Hence, option is not correct.


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