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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        Monochromatic light of wavelength 800 nm is used in double slit experiment. One of the slit is covered with a transparent slab of thickness\[2.4\times {{10}^{-5}}m\]. The refractive index of the material of slab is 1.4. What is the number of fringes that will shift due to introduction of the sheet?

    A)  14                                         

    B)  12

    C)  16                                         

    D)  10

    Correct Answer: B

    Solution :

                    The total fringe shift is \[H=\frac{\beta }{\lambda }(\mu -1)t\] The number of fringes that will shift \[=\frac{total\text{ }fringe\text{ }shift}{fringe\text{ }width}\] Or           \[n=\frac{\frac{\beta }{\lambda }(\mu -1)t}{\beta }=\frac{(\mu -1)t}{\lambda }\] Or           \[n=\frac{(1.4-1)\times 2.4\times {{10}^{-5}}}{800\times {{10}^{-9}}}\] Or           \[n=\frac{0.4\times 2.4\times {{10}^{-5}}}{8\times {{10}^{-7}}}\] Or           \[n=12\]


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