JEE Main & Advanced JEE Main Paper (Held on 08-4-2019 Morning)

  • question_answer
    In an interference experiment the ratio of amplitudes of coherent waves is \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{1}{3}.\]The ratio of maximum and minimum intensities of fringes will be : [JEE Main 8-4-2019 Morning]

    A) 4         

    B) 2

    C) 9                                 

    D) 18

    Correct Answer: A

    Solution :

    Given\[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{1}{3}\] Ratio of intensities,\[\frac{{{I}_{1}}}{{{I}_{2}}}={{\left( \frac{{{a}_{1}}}{{{a}_{2}}} \right)}^{2}}=\frac{1}{9}\] Now,\[\frac{{{I}_{\max }}}{{{I}_{\min }}}={{\left( \frac{\sqrt{{{I}_{1}}}+\sqrt{{{I}_{2}}}}{\sqrt{{{I}_{1}}}-\sqrt{{{I}_{2}}}} \right)}^{2}}={{\left( \frac{1+3}{1-3} \right)}^{2}}=4\]            


You need to login to perform this action.
You will be redirected in 3 sec spinner