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JEE Main & Advanced Sample Paper JEE Main Sample Paper-3

  • question_answer
    Two periodic waves of intensities \[{{I}_{1}}\] and \[{{I}_{2}}\] pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is

    A)  \[2({{I}_{1}}+{{I}_{2}})\]              

    B)  \[{{I}_{1}}+{{I}_{2}}\]

    C)  \[{{(\sqrt{{{I}_{1}}}+\sqrt{{{I}_{2}}})}^{2}}\]      

    D)  \[{{(\sqrt{{{I}_{1}}}-\sqrt{{{I}_{2}}})}^{2}}\]

    Correct Answer: A

    Solution :

     Here, \[{{\operatorname{I}}_{max}}={{I}_{1}}+{{I}_{2}}+2\sqrt{{{I}_{1}}{{I}_{2}}}\cos {{0}^{o}}\] \[{{\operatorname{I}}_{min}}={{I}_{1}}+{{I}_{2}}+2\sqrt{{{I}_{1}}{{I}_{2}}}\cos {{180}^{o}}\] \[\therefore \]\[{{\operatorname{I}}_{max}}+{{\operatorname{I}}_{min}}=2({{I}_{1}}+{{I}_{2}})\]


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