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Question

A soap film of thickness 0.0011 mm appears dark when seen by the reflected light of wavelength 580 nm. What is the index of the refraction of the soap solution, if it is known to be between 1.2 and 1.5?

A
1.32
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B
1.35
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C
1.43
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D
1.48
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Solution

The correct option is A 1.32
Given t=0.0011×103m
For minimum reflection of light, 2μt=nλ
μ=nλ2t=2nλ4t=580×109×2n4×11×107=0.132(2n)
Given that, μ has value in between 1.2 and 1.5
When, n=5,μ=0.132×10=1.32

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