For a light of wavelength 6 × 10 ^7 m it is found that in a thin film of air, 9 fringes occur between two points. Deduce the difference of film thickness between these points
Answers
Explanation:
State two differences between interference and diffraction For light of wavelength λ = 6 × 10–7 m, it is found that in a thin film of air, 9 fringes occur between two points deduce the difference of film thickness between these points.
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Answer:
The difference in film thickness between the two points is 2.7 × 10^8 meters.
Explanation:
The path difference between two interfering waves that create adjacent bright or dark fringes in a thin film is given by the formula:
Δ = 2nt
where Δ is the path difference, n is the refractive index of the film, and t is the thickness of the film.
Since the film is air, we can assume n = 1.
We are given that 9 fringes occur between two points for light of wavelength 6 × 10^7 m. This means that the path difference between these two points is 9 times the wavelength:
Δ = 9λ = 9(6 × 10^7 m) = 5.4 × 10^8 m
Substituting this into the formula, we get:
5.4 × 10^8 m = 2nt
Since n = 1 for air, we can simplify this to:
5.4 × 10^8 m = 2t
Dividing both sides by 2, we get:
t = 2.7 × 10^8 m
Therefore, the difference in film thickness between the two points is 2.7 × 10^8 meters.
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