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JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank Wave Nature and Interference of Light

  • 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                                    [MP PMT 2000]

    A)            7    

    B)            6

    C)            5    

    D)            3.5

    Correct Answer: B

    Solution :

                       \[\varphi =\pi /3,\ {{a}_{1}}=4,\ {{a}_{2}}=3\] So, \[A=\sqrt{a_{1}^{2}+a_{2}^{2}+2{{a}_{1}}.{{a}_{2}}\cos \varphi }\Rightarrow A\approx 6\]


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