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Manipal Engineering Manipal Engineering Solved Paper-2009

  • question_answer
    For the constructive interference the path difference between the two interfering waves must be equal to

    A)  \[(2n+1)\lambda \]

    B)                                        \[2n\pi \]

    C)  \[n\pi \]                             

    D)        \[(2n+1)\frac{\lambda }{2}\]

    Correct Answer: C

    Solution :

    Phase difference,                 \[\Delta \phi =\frac{2\pi }{\lambda }\Delta x\] In a constructive interference, \[\Delta \phi =2\pi r\]where \[n=0,1,2,3,...\] \[\therefore \]  \[2n\pi =\frac{2\pi }{\lambda }\Delta x\] or            \[\Delta x=n\lambda \]


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