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EAMCET Medical EAMCET Medical Solved Paper-2009

  • question_answer
    Two light beams produce interference pattern to give maxima and minima on the screen. If the intensities of the light beams are in the ratio of 9: 4, then the ratio of intensities of maxima and minima is

    A)  3 : 2                                      

    B)  5 : 1

    C)  25 : 1                                    

    D)  9 : 1

    Correct Answer: C

    Solution :

     \[\frac{{{I}_{1}}}{{{I}_{2}}}=\frac{a_{1}^{2}}{a_{2}^{2}}\] \[\therefore \]  \[\sqrt{\frac{9}{4}}=\frac{{{a}_{1}}}{{{a}_{2}}}\] \[\Rightarrow \]                               \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{3}{2}\] \[\therefore \]  \[\frac{{{I}_{\max }}}{{{I}_{\min }}}=\frac{{{({{a}_{1}}+{{a}_{2}})}^{2}}}{{{({{a}_{1}}-{{a}_{2}})}^{2}}}={{\left( \frac{3+2}{3-2} \right)}^{2}}\] or            \[{{I}_{\max }}:{{I}_{\min }}=25:1\]


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