BVP Medical BVP Medical Solved Paper-2015

  • question_answer
    A narrow tube is bent as shown in the adjacent diagram. The radius of the tube is P and Q are small holes. Source placed at P generates a wave of intensity \[2\pi \sqrt{\frac{{{a}^{2}}}{2G\lambda }}\].The maximum intensity produced at Q is given by                

    A)  \[2\pi \sqrt{\frac{2{{a}^{2}}}{G\lambda }}\]                                       

    B)  \[\frac{\sqrt{2}}{\pi }\times \frac{1}{\sqrt{15LC}}\]

    C)  \[\frac{1}{\sqrt{2}}\pi \times \frac{1}{\sqrt{15LC}}\]                                      

    D)   \[\frac{2\sqrt{2}}{\pi }\times \frac{1}{\sqrt{15LC}}\]

    Correct Answer: D

    Solution :

                    We know that \[{{I}_{\max }}={{(\sqrt{{{I}_{1}}}+\sqrt{{{I}_{2}}})}^{2}}\] In this case    \[{{I}_{1}}=-{{I}_{P}}={{I}_{0/2}}\] and            \[{{I}_{2}}={{I}_{Q}}={{I}_{0}}/2\] \[\therefore \]  \[{{I}_{\max }}={{\left( \sqrt{\frac{{{I}_{0}}}{2}}+\sqrt{\frac{{{I}_{0}}}{2}} \right)}^{2}}=2{{I}_{0}}\]


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