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Two transparent slabs have the same thickness as shown in figure. One in made of material A of refractive index 1.5. The other is made of two materilas 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, the refractive index of B is
image
A. `1.1`
B. `1.2`
C. `1.3`
D. `1.4`

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Correct Answer - C
Wavelength of light in `X=(lambda)/(1.5)`, in `Y=(lambda)/(mu)`, in `Z=(lambda)/(1.6)`
Number of wavelegnth in X=number of wavelengths in Y+ number of wavelengths in Z
`(t)/(lambda//1.5)=(t//3)/(lambda//mu)+(2t//3)/(lambda//1.6)`
`1.5=mu/3+(3.2)/(3)impliesmu/3=1.5-(3.2)/(3)=(1.3)/(3)impliesmu=1.3`

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