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°.
<h3>What is dark fringe?</h3>
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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