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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2013

  • question_answer
    Beats are produced by two waves given by\[{{y}_{1}}=a\sin 200\pi t\]and\[{{y}_{2}}=a\sin 208\pi t\]. The number of beats heard per second is

    A)  zero                     

    B)  one

    C)  four                     

    D)  eight

    Correct Answer: C

    Solution :

                    Given,\[{{y}_{1}}=\pi sin\text{ }200\text{ }\pi t\] This equation comparing with \[y=a\sin 2\pi {{x}_{1}}t\] Then,      \[{{n}_{1}}=100\] and       \[{{y}_{1}}=a\sin 208\pi t\] This equation comparing with                 \[y=a\sin 2\pi {{n}_{2}}t\]                 \[{{n}_{2}}=104\] Hence, the number of beats \[={{n}_{2}}-{{n}_{1}}\] \[=104-100=4\]


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