What is the number of bright fringes appearing between the two minima of the diffraction pattern?

Zoagliaj 2022-07-18 Answered
A double-slit system with individual slit widths of 0.0250 mm and a slit separation of 0.150 mm is illuminated with 480 nm light directed perpendicular to the plane of the slits. What is the number of complete bright fringes appearing between the two first order minima of the diffraction pattern?
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Answers (1)

thenurssoullu
Answered 2022-07-19 Author has 13 answers
Given:
Individual slit width:
a = 0.025  mm
Slit separation:
a = 0.15  mm
Wavelength of light:
λ = 480  nm
In the double slit experiment, there will be interference due to difference in the phase of two paths and diffraction (bending of light) in the single slit.
Now, the first minima will be given as:
a sin θ = λ
Now, the angular locations due to interference is:
From equation,
m 2 = d a
Substituting the known values and solving,
m 2 = 0.15 0.025 m 2 = 6
Therefore, there are 5 complete bright fringes in each side along with the central maximum. Hence, the number of complete bright fringes appearing between the two, first order minima of the diffraction pattern is 11.
Answer is 11 (no units).
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