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CMC Medical CMC-Medical VELLORE Solved Paper-2012

  • question_answer
    If two waves of equal amplitude and frequency interfere each other then the ratio of intensity when the two waves arrive in phase to that when they arrive \[90{}^\circ \]out of phase is

    A)  \[\sqrt{2}:1\]                   

    B)  \[1:1\]

    C)  \[4:1\]                                 

    D)  \[2:1\]

    Correct Answer: D

    Solution :

                    Resultant intensity, \[I=4{{I}_{0}}{{\cos }^{2}}(\phi /2)\] \[\therefore \] Ratio of intensity for two waves \[\frac{{{I}_{1}}}{{{I}_{2}}}=\frac{{{\cos }^{2}}({{\phi }_{1}}/2)}{{{\cos }^{2}}({{\phi }_{2}}/2)}\]       \[=\frac{{{\cos }^{2}}0{}^\circ }{{{\cos }^{2}}(90{}^\circ /2)}=\frac{2}{1}\]


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