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

  • question_answer
    Interference fringes were produced in Young's double slit experiment using light of wave length\[5000\text{ }\overset{o}{\mathop{A}}\,\]. When a film of material \[2.5\times {{10}^{-3}}cm\] thick was placed over one of the slits, the fringe pattern shifted by a distance equal to 20 fringe width. The refractive index of the material of the film is

    A) 1.25  

    B) 1.33  

    C) 1.4   

    D) 1.513

    Correct Answer: C

    Solution :

    [c] \[n=\frac{(\mu -1)tD}{d}\] but  \[\beta =\frac{\lambda D}{d}\Rightarrow \frac{D}{d}=\frac{\beta }{\lambda }\] \[n=(\mu -1)t\,\beta /\lambda \] \[20\beta =(\mu -1)2.5\times {{10}^{-3}}(\beta /5000\times {{10}^{-8}})\] \[\mu -1=\frac{20\times 5000\times {{10}^{-8}}}{2.5\times {{10}^{-3}}}\Rightarrow \mu =1.4\]


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