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JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

  • question_answer
    Two waves represented by the following equations are travelling in the same medium \[{{y}_{1}}=5\sin 2\pi (75t-0.25x)\], \[{{y}_{2}}=10\sin 2\pi (150t-0.50x)\]            The intensity ratio \[{{I}_{1}}/{{I}_{2}}\] of the two waves is  [UPSEAT 2002]

    A)            1 : 2                                          

    B)            1 : 4

    C)            1 : 8                                          

    D)            1 : 16

    Correct Answer: B

    Solution :

               \[\frac{{{I}_{1}}}{{{I}_{2}}}=\frac{a_{1}^{2}}{a_{2}^{2}}\Rightarrow \frac{{{I}_{1}}}{{{I}_{2}}}=\frac{25}{100}=\frac{1}{4}\]


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