Optics Question 118

Question: 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

Options:

A) 1.1

B) 1.2

C) 1.3

D) 1.4

Show Answer

Answer:

Correct Answer: C

Solution:

For A Total number of waves = (1.5)tλ ….(i)

Total number  of waves =(optical path lengthwavelength)

For B and C Total number of waves = nB(t3)λ+(1.6)(2t3)λ ….(ii) Equating (i) and (ii) nB=1.3



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