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JEE Main & Advanced Physics Wave Mechanics Question Bank Interference and Superposition of Waves

  • question_answer
    The superposing waves are represented by the following equations :                    \[{{y}_{1}}=5\sin 2\pi (10\,t-0.1x)\], \[{{y}_{2}}=10\sin 2\pi (20\,t-0.2x)\]            Ratio of intensities \[\frac{{{I}_{\max }}}{{{I}_{\min }}}\] will be [AIIMS 1995; KCET 2001]

    A)            1    

    B)            9

    C)            4    

    D)            16

    Correct Answer: B

    Solution :

               \[{{a}_{1}}=5,\,\,{{a}_{2}}=10\] \[\Rightarrow \]\[\frac{{{I}_{\max }}}{{{I}_{\min }}}=\frac{{{({{a}_{1}}+{{a}_{2}})}^{2}}}{{{({{a}_{1}}-{{a}_{2}})}^{2}}}={{\left( \frac{5+10}{5-10} \right)}^{2}}=\frac{9}{1}\]


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