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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 wavelengths inside both, the refractive index of B is 10+x 10 . Then x is:

Correct answer

3

Step-by-step solution

For A : Total number of waves = (1.5) t ...(i) Totalnumber of waves = ( optical path length wavelength ) For B and C : Total number of waves = n_B ( 1 3 ) + (1.6) ( 2 t 3 ) ...(ii) Equating (1) and (2) n _ B =1.3

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