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

  • question_answer
    Two waves having the intensities in the ratio of 9 : 1 produce interference. The ratio of maximum to the minimum intensity, is equal to                             [CPMT 2001; Pb. PET 2004]

    A)            2 : 1                                          

    B)            4 : 1                                          

    C)            9 : 1                                          

    D)            10 : 8

    Correct Answer: B

    Solution :

               \[\frac{{{I}_{max}}}{{{I}_{min}}}=\frac{{{\left( \frac{\sqrt{{{I}_{1}}}}{\sqrt{{{I}_{2}}}}+1 \right)}^{2}}}{{{\left( \frac{\sqrt{{{I}_{1}}}}{\sqrt{{{I}_{2}}}}-1 \right)}^{2}}}=\frac{{{\left( \sqrt{\frac{9}{1}}+1 \right)}^{2}}}{{{\left( \sqrt{\frac{9}{1}}-1 \right)}^{2}}}=\frac{4}{1}\]


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