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

  • question_answer
    The two interfering waves have intensities in the ratio 9 : 4. The ratio of intensities of maxima and minima in the interference pattern will be                                      [AMU 2000]

    A)            1 : 25                                        

    B)            25 : 1

    C)            9 : 4                                          

    D)            4 : 9

    Correct Answer: B

    Solution :

               \[\frac{{{I}_{\max }}}{{{I}_{\min }}}={{\left( \frac{\sqrt{\frac{{{I}_{1}}}{{{I}_{2}}}}+1}{\frac{\sqrt{{{I}_{1}}}}{\sqrt{{{I}_{2}}}}-1} \right)}^{2}}={{\left( \frac{\sqrt{\frac{9}{4}}+1}{\sqrt{\frac{9}{4}}-2} \right)}^{2}}=\frac{25}{1}\]


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