JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank Mock Test - Wave Optics

  • question_answer
    In the Young's double slit experiment, if the phase difference between the two waves interfering at a point is\[\phi \], the intensity at that point can be expressed by the expression

    A) \[I=\sqrt{{{A}^{2}}+{{B}^{2}}{{\cos }^{2}}\varphi }\]       

    B) \[I=\frac{A}{B}\cos \varphi \]

    C) \[I=A+B\cos \frac{\varphi }{2}\]

    D) \[I=A+B\cos \]

    Correct Answer: D

    Solution :

    [d] \[I={{a}_{1}}^{2}+{{a}_{2}}^{2}+2{{a}_{1}}{{a}_{2}}\cos \varphi \] Put \[{{a}_{1}}^{2}+{{a}_{2}}^{2}=A\] and \[{{a}_{1}}{{a}_{2}}=B\] \[\therefore I=A+B\cos \varphi \]


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