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JEE Main & Advanced AIEEE Paper (Held On 11 May 2011)

  • question_answer
    Statement -1 : Two longitudinal waves given by equations : \[{{y}_{1}}(x,t)=2asin(\omega t-kx)\]and\[{{y}_{2}}(x,t)=a\,sin(2\omega t-2kx)\]will have equal intensity. Statement - 2: Intensity of waves of given frequency in same medium is proportional to square of amplitude only.     AIEEE  Solved  Paper (Held On 11 May  2011)

    A)  Statement-1 is true, Statement-2 is false.

    B)  Statement-1 is true, Statement-2 is true, Statement-2 is the correct explanation of statment-1

    C)  Statement-1 is true, Statement-2 is true, Statement-2 is not the correct explanation of Statement-1

    D)  Statement-1 is false, Statement-2 is true.

    Correct Answer: A

    Solution :

                     Since,\[I\propto {{A}^{2}}{{\omega }^{2}}\]                 \[{{I}_{1}}\propto {{(2a)}^{2}}{{\omega }^{2}}\]                 \[{{I}_{2}}\propto {{a}^{2}}{{(2\omega )}^{2}}\]                 \[{{I}_{1}}={{I}_{2}}\] Intensity depends on frequency also.


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