JEE Main & Advanced Physics Wave Mechanics Question Bank Stationary Waves

  • question_answer
    \[y=a\cos (kx+\omega t)\] superimposes on another wave giving a stationary wave having node at x = 0. What is the equation of the other wave                   [BHU 1998; DPMT 2000]

    A)            \[-a\cos (kx+\omega t)\]

    B)            \[a\cos (kx-\omega t)\]

    C)            \[-a\cos (kx-\omega t)\] 

    D)            \[-a\sin (kx+\omega t)\]

    Correct Answer: C

    Solution :

                         \[a\cos (kx+\omega \,t)\] hence \[{{y}_{\text{reflected}}}=a\cos (-kx+\omega \,t+\pi )=-a\cos (kx-\omega \,t)\]


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