JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

  • question_answer
    A plane wave is represented by                    \[x=1.2\sin (314\,t+12.56y)\] Where x and y are distances measured along in x and y direction in meters and t is time in seconds. This wave has [MP PET 1991]

    A)            A wavelength of 0.25 m and travels in + ve x direction

    B)            A wavelength of 0.25 m and travels in + ve y direction

    C)            A wavelength of 0.5 m and travels in ? ve y direction

    D)            A wavelength of 0.5 m and travels in ? ve x direction

    Correct Answer: C

    Solution :

               The given equation representing a wave travelling along ?y direction (because ?+? sign is given between t term and x term). On comparing it with \[x=A\sin \,\left( \omega \,t+ky \right)\] We get \[k=\frac{2\pi }{\lambda }=12.56\] Þ \[\lambda =\frac{2\times 3.14}{12.56}=0.5\,m\]


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