JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

  • question_answer
    Which of the following equations represents a wave [CBSE PMT 1994; JIPMER 2000]

    A)            \[Y=A(\omega \,t-kx)\]   

    B)            \[Y=A\sin \omega \,t\]

    C)            \[Y=A\cos kx\]                    

    D)            \[Y=A\sin (at-bx+c)\]

    Correct Answer: D

    Solution :

               \[y=A\sin (at-bx+c)\] represents equation of simple harmonic progressive wave as it describes displacement of any particle (x) at any time (t). or It represents a wave because it satisfies wave equation \[\frac{{{\partial }^{2}}y}{\partial {{t}^{2}}}={{v}^{2}}\frac{{{\partial }^{2}}y}{\partial {{x}^{2}}}\].


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