Find detailed and accurate answers to your questions on IDNLearn.com. Join our interactive Q&A community and get reliable, detailed answers from experienced professionals across a variety of topics.
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.
https://brainly.com/question/14098517
#SPJ4
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.
