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JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Waves

  • question_answer
    Two vibrating tuning forks produce progressive waves given by \[{{Y}_{1}}=4\sin 500\pi t\] and\[{{Y}_{2}}=2\sin 506\pi t\]. Number of beats produced per minute is

    A)  360     

    B)  180  

    C) 60                    

    D) 3

    Correct Answer: B

    Solution :

    [b] Equation of progressive wave is given by \[Y=A\,\sin \,2\pi ft\]  Given \[{{Y}_{1}}=4\sin 500\pi t\] and \[{{Y}_{2}}=2\sin 506\pi t\] Comparing the given equations with equation of progressive wave, we get \[2{{f}_{1}}=500\Rightarrow {{f}_{1}}=250\] \[2{{f}_{2}}=506\Rightarrow {{f}_{2}}=253\] Beats\[={{f}_{2}}-{{f}_{1}}=253-250=3\,beats/sec\]             \[=3\times 60=180\,beats/\min ute.\]


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