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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 5

  • question_answer
    Two waves coming from two coherent sources, having different intensities interfere. Their ratio of maximum intensity to the minimum intensity is 25. The intensities of the sources are in the ratio

    A) 25 : 1   

    B) 25 : 16

    C) 9 : 4     

    D) 5 : 1

    Correct Answer: C

    Solution :

    [c]: \[\frac{{{I}_{\max }}}{{{I}_{\min }}}=\frac{{{(a+b)}^{2}}}{{{(a-b)}^{2}}}=\frac{25}{1}\] \[\frac{a+b}{a-b}=\frac{5}{1}\]or\[5a-5b-a+b\] or\[4a=6b\]or\[\frac{a}{b}=\frac{3}{2}\therefore \frac{{{I}_{1}}}{{{I}_{2}}}=\frac{{{a}^{2}}}{{{b}^{2}}}=\frac{9}{4}\]


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