RAJASTHAN ­ PET Rajasthan PET Solved Paper-2011

  • question_answer
    The two waves, whose intensities are\[9:16\]are made to interfere. The ratio of maximum and minimum intensities in the interference pattern is

    A)  16 : 9           

    B)  4 : 3

    C)  25 : 7           

    D)  49 : 1

    Correct Answer: D

    Solution :

     Amplitude of superimposing waves are \[\left( \frac{{{a}_{1}}}{{{a}_{2}}} \right)={{\left( \frac{9}{16} \right)}^{1/2}}=\frac{3}{4}\] \[\frac{{{I}_{\max }}}{{{I}_{\min }}}=\frac{{{({{a}_{1}}+{{a}_{2}})}^{2}}}{({{a}_{1}}-{{a}_{2}})}\] \[=\frac{{{(3+4)}^{2}}}{{{(3-4)}^{2}}}=\frac{49}{1}\]


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