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Manipal Engineering Manipal Engineering Solved Paper-2010

  • question_answer
    If two waves represented by \[{{y}_{1}}=4\sin \,\omega t\] and \[{{y}_{2}}=3\sin \left( \omega t+\frac{\pi }{3} \right)\]interfere at a point. The amplitude of the resulting wave will be about

    A)  7                                            

    B)  6

    C)  5                            

    D)         3.5

    Correct Answer: B

    Solution :

    Resulting amplitude of two interfering waves                 \[A=\sqrt{a_{1}^{2}+a_{2}^{2}+2{{a}_{1}}{{a}_{2}}\cos \phi }\] Here,\[\phi =\pi /3,\,\,{{a}_{1}}=4,\,\,{{a}_{2}}=3\] \[\Rightarrow \]               \[A\simeq 6\]


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