Question

Air has refractive index 1.0003. The thickness of air column, which will have one more wavelength of yellow light (6000 a) than in the same thickness of vacuum, is

Answer 1

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Answer 2

Hey buddy,

◆ Answer-
t = 2 mm

◆ Explanation-
# Given-
μ = 1.0003
λ = 6000 A = 6×10^-7 m
n' = n+1

# Solution-
Let be the thickness of air column.
n = t/λ
n' = t/λ'

We have-
n' = n + 1
t/λ' = t/λ + 1
t(1/λ' - 1/λ) = 1

Putting λ' = λ/μ
t = λ/(μ-1)
t = (6×10^-7) / (1.0003-1)
t = (6×10^-7) / (3×10^-4)
t = 2×10^-3 m
t = 2 mm

Thickness of air column will be 2 mm.

Hope this helps you...