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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2015

  • question_answer
    The disc of a siren containing 60 holes rotates at a constant speed of 360 rpm. The emitted sound is in unison with a tuning fork of frequency

    A) 60 Hz                    

    B) 360 Hz

    C) 10Hz                                     

    D) 216 Hz

    Correct Answer: B

    Solution :

    Frequency of revolution of disc                       \[\frac{{{t}_{2}}}{{{t}_{1}}}=\sqrt{\frac{2}{H}}=\frac{1}{\sqrt{2}}\] \[{{t}_{2}}=\frac{1}{\sqrt{2}}{{t}_{1}}=0.7\times 10=7\min \]                 \[L=I\omega \] Frequency of emitted sound \[=\frac{2}{5}M{{R}^{2}}\times \frac{2\pi }{T}=\frac{4\pi M{{R}^{2}}}{5T}\]                 \[U(x)=\left[ \frac{{{x}^{4}}}{4}-\frac{{{x}^{2}}}{2} \right]\] \[U,\frac{dU}{dx}=0\]


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