CMC Medical CMC-Medical VELLORE Solved Paper-2012

  • question_answer
    Two waves \[{{y}_{1}}=a\,\,\sin 2000\pi t\] and\[{{y}_{2}}=a\,\,\sin 2008\,\pi t\] produces beats, the number of beats heard per second will be

    A)  0                                            

    B)  1

    C)  4                                            

    D)  5

    Correct Answer: C

    Solution :

                    Number of beats per second\[={{n}_{1}}\sim {{n}_{2}}\] Here,     \[{{\omega }_{1}}=2000\,\pi \]                 \[2\pi {{n}_{1}}=2000\,\pi \]                 \[{{n}_{1}}=1000\] \[{{\omega }_{2}}=20008\,\pi \] \[\Rightarrow \]               \[2\pi {{n}_{2}}=2008\,\pi \] or            \[{{n}_{2}}=10004\] \[\therefore \] Number of beats heard per second \[=1004-1000=4\]


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