JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

  • question_answer
    Two waves are given by  \[{{y}_{1}}=a\sin (\omega t-kx)\] and  \[{{y}_{2}}=a\cos (\omega \,t-kx)\] The phase difference between the two waves is [MP PMT 1993; SCRA 1996; CET 1998; EAMCET 1991; Orissa JEE 2002]

    A)            \[\frac{\pi }{4}\]                 

    B)            p

    C)            \[\frac{\pi }{8}\]                 

    D)            \[\frac{\pi }{2}\]

    Correct Answer: D

    Solution :

               \[{{y}_{1}}=a\sin (\omega t-kx)\]                    and \[{{y}_{2}}=a\cos (\omega t-kx)=a\sin \,\left( \omega \,t-kx+\frac{\pi }{2} \right)\] Hence phase difference between these two is \[\frac{\pi }{2}.\]


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