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

  • question_answer
    In the ideal double-slit experiment, when a glass plate (refractive index 1.5) of thickness \[t\] is introduced in the path of one of the interfering beams (wavelength\[\lambda \]), the intensity at the position where the central maximum occurred previously remains unchanged. The minimum thickness of the glass plate is

    A) \[2\lambda \]     

    B) \[2\lambda /3\]

    C) \[\lambda /3\]    

    D) \[\lambda \]  

    Correct Answer: A

    Solution :

    [a] Path difference due to slab should be integral multiple of\[\lambda \]. Hence, \[\Delta x=n\lambda \] Or \[(\mu -1)t=n\lambda ,\] \[n=1,2,...\] Or \[t=\frac{n\lambda }{\mu -1}\] For minimum value of t, n=1. \[\therefore t=\frac{n\lambda }{\mu -1}=\frac{\lambda }{1.5-1}=2\lambda \]        


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