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

  • question_answer
    A monochromatic light is used in Young's double slit experiment when one of the slits is covered by a transparent sheet of thickness 1.8 mm, made of material of refractive index \[{{\mu }_{1}}\]number of fringes which shift is 18, when another sheet of thickness 3.6 mm, made of material of refractive index \[{{\mu }_{2}}\]is used, number of fringes which shift is 9. Relation between \[{{\mu }_{1}}\] and \[{{\mu }_{2}}\] is given by

    A) \[4{{\mu }_{2}}-{{\mu }_{1}}=3\]

    B) \[4{{\mu }_{1}}-{{\mu }_{2}}=3\]

    C) \[3{{\mu }_{2}}-{{\mu }_{1}}=4\]

    D) \[2{{\mu }_{1}}-{{\mu }_{2}}=4\]

    Correct Answer: A

    Solution :

    [a] \[(\mu -1)t=n\beta \] \[\frac{({{\mu }_{1}}-1)\times 1.8\times {{10}^{-5}}}{({{\mu }_{2}}-1)\times 3.6\times {{10}^{5}})}=\frac{18\beta }{9\beta }\] \[({{\mu }_{1}}-1)=4({{\mu }_{2}}-1)\]       \[4{{\mu }_{2}}-{{\mu }_{1}}=3\]


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