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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2012

  • question_answer
    A wave is represented by \[y=a\cos (\omega t+kx+\phi )\] where\[\omega ,\phi \]and\[\phi \]are three constants. The dimensions of\[\omega ,k\]and\[\phi \]are respectively

    A)  \[[T],[{{L}^{-1}}],[{{M}^{0}}{{L}^{0}}{{T}^{0}}]\]

    B)  \[[T],[L],[M]\]

    C)  \[[T],[{{L}^{-1}}],[{{M}^{0}}{{L}^{0}}{{T}^{0}}]\]

    D)  \[[{{T}^{-1}}],[L],[{{M}^{0}}{{L}^{0}}{{T}^{0}}]\]

    Correct Answer: C

    Solution :

     \[[\omega ]=\frac{1}{[T]}=[{{T}^{-1}}]\] \[[k]=\frac{1}{[L]}=[{{L}^{-1}}]\] \[\phi \]must be dimensionless.


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