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Sagot :
Answer:
51°
Explanation:
dark fringe equation = dsinθ = (m + 1/2)λ
sinθ = [(m + 1/2)λ]d
sinθ1 = [(m + 1/2)λ]d
sinθ1/sinθ = [(m + 1/2)(λ/d)] / [[(m + 1/2)(λ/d)] = [(m + 1/2)] / [(m + 1/2)]
sinθ1 = [(m + 1/2)] / [(m + 1/2)] (sinθ)
sinθ1 = [1+1/2]/[0+1/2] (sin15)
sinθ1 = 3sin15
sinθ1 = 0.77645
θ1 = sin^-1( 0.77645)
θ1 = 50.94° = 51°
The dark fringe for m = 0 in a young's double-slit experiment is located at an angle. The angle that locates the dark fringe for m = 1 is 51°.
What is dark fringe?
When light passes through a slit , it produces a spectrum which can be seen on the screen kept a distance in form of fringes of different intensity. The fringe with intensity zero is called the dark fringe.
Given is the angle θ = 15°
The equation for the dark fringe is
d sinθ = (m + 1/2)λ
For m= 0 and m=1, the ratio of the sines is
sinθ₁/sinθ₀ = [(m + 1/2)] / [(m + 1/2)]
Rearranging for sinθ₁, we have
sinθ₁ = [(m + 1/2)] / [(m + 1/2)] (sinθ₀)
Substituting the values into the equation and solving for θ₁
sinθ₁ = [1+1/2]/[0+1/2] (sin15)
θ₁ = 51°
Thus, the angle that locates the dark fringe fro m = 1 is 51°.
Learn more about dark fringe.
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