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Question: What is the minimum thickness of a soap bubble needed for constructive interference in reflected lig...

What is the minimum thickness of a soap bubble needed for constructive interference in reflected light if the light incident on the film is 900 nm? Refractive index for the film is µ = 1.5–

A

100 nm

B

150 nm

C

200 nm

D

250 nm

Answer

150 nm

Explanation

Solution

2µt cos r = (2n – 1) λ2\frac{\lambda}{2}

t = (2n – 1) λ2μcosr\frac{\lambda}{2\mu\cos r}

cos r ® 1.

\ t = (2n _ 1) λ4μ\frac{\lambda}{4\mu}.

n = 1

t = λ4μ=9004×1.5\frac{\lambda}{4\mu} = \frac{900}{4 \times 1.5} nm

\ t = 150 nm