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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2011

  • question_answer
    Two monochromatic light waves of amplitudes 3 A and 2 A interfering at a point have a phase difference of \[{{60}^{o}}\]. The intensity at that point will be proportional to

    A)  \[5{{A}^{2}}\]                                  

    B)  \[13{{A}^{2}}\]

    C)  \[7{{A}^{2}}\]                                  

    D)  \[19{{A}^{2}}\]

    Correct Answer: D

    Solution :

    Here, \[A=\sqrt{A_{1}^{2}+A_{2}^{2}+2{{A}_{1}}{{A}_{2}}\cos \theta }\]                 \[I=9{{A}^{2}}+4{{A}^{2}}+2\times 3A\times 2A\times \frac{1}{2}\]                                 \[I=19{{A}^{2}}\]


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