JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

  • question_answer
    A wave travelling in positive X-direction with \[A=0.2m\] has a velocity of 360 m/sec. if \[\lambda =60m,\] then correct expression for the wave is              [CBSE PMT 2002; KCET  2003]

    A)            \[y=0.2\sin \,\left[ 2\pi \left( 6t+\frac{x}{60} \right) \right]\]

    B)            \[y=0.2\sin \,\left[ \pi \left( 6t+\frac{x}{60} \right) \right]\]

    C)            \[y=0.2\sin \,\left[ 2\pi \left( 6t-\frac{x}{60} \right) \right]\]

    D)            \[y=0.2\sin \,\left[ \pi \left( 6t-\frac{x}{60} \right) \right]\]

    Correct Answer: C

    Solution :

               A wave travelling in positive x-direction may be represented as \[y=A\sin \frac{2\pi }{\lambda }\,(v\,t-x)\]. On putting values \[y=0.2\sin \frac{2\pi }{60}(360\,t-x)\]Þ \[y=0.2\sin 2\pi \,\left( 6\,t-\frac{x}{60} \right)\]


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