JEE Main & Advanced Physics Ray Optics Question Bank Critical Thinking

  • question_answer
    Two transparent slabs have the same thickness as shown. One is made of material A of refractive index 1.5. The other is made of two materials B and C with thickness in the ratio 1 : 2. The refractive index of C is 1.6. If a monochromatic parallel beam passing through the slabs has the same number of waves inside both, the refractive index of B is

    A)            1.1 

    B)            1.2

    C)            1.3 

    D)            1.4

    Correct Answer: C

    Solution :

                       For A Total number of waves = \[\frac{(1.5)t}{\lambda }\]                        ....(i) \[\because \] \[\left( \begin{align}   & \text{Total number} \\  & \ \ \text{ of waves} \\ \end{align} \right)=\left( \frac{\text{optical path length}}{\text{wavelength}} \right)\] For B and C Total number of waves = \[\frac{{{n}_{B}}\left( \frac{t}{3} \right)}{\lambda }+\frac{(1.6)\left( \frac{2t}{3} \right)}{\lambda }\]   ....(ii) Equating (i) and (ii)    \[{{n}_{B}}=1.3\]


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