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Question

Two transparent slabs have the same thickness as shown in the figure. 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 wavelengths inside both, refractive index of B is
1776312_a8b277388ec74354a853959f9224f28a.PNG

A
1.1
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B
1.2
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C
1.3
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D
1.4
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Solution

The correct option is C 1.3
We know that,
The total no. of waves = OpticalpathlengthWavelength

Total number of waves=1.5tλ (i)
For B and C:
Total number of waves =n0(t3)λ + 1.6(2t3)λ (ii) [Here n0 = refractive index of B ]

Equating equation (i) and (ii), we get
n0=1.3

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