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NEET Sample Paper NEET Sample Test Paper-83

  • question_answer
    Two beams of light of intensity \[{{I}_{1}}\,\,and\,\,{{I}_{2}}\] interfere to give an interference pattern. If the ratio of maximum intensity to minimum intensity is \[\frac{25}{9}\]then \[{{I}_{1}}\,/\,\,{{I}_{2}}\] is

    A)  5/3                              

    B)  4

    C)  81/625            

    D)  16

    Correct Answer: D

    Solution :

    \[\frac{{{l}_{\max }}}{{{l}_{\min }}}=\frac{{{(a+b)}^{2}}}{{{(a-b)}^{2}}}=\frac{25}{9}\] \[\therefore \,\,\,\,\frac{a+b}{a-b}=\frac{5}{3}\,\,or\,\,5a-5b=3a+3b\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,a=4b\] \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{{{l}_{1}}}{{{l}_{2}}}=\frac{{{a}^{2}}}{{{b}^{2}}}=\frac{{{(4b)}^{2}}}{{{b}^{2}}}=16\]


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