Screen (7%) Problem 7: The figure shows a double slit located a distance x 2.75

Question

Screen (7%) Problem 7: The figure shows a double slit located a distance x 2.75 m from a screen, with the distance from the center of the screen to a bright fringe given by y. When the distance d between the slits is large compared to the wavelength 1 there will be numerous such bright fringes. Otheexpertta.com A 100% Part (a) Calculate the distance between adjacent fringes, in centimeters, for 633-nm light falling on double slits separated by 0.081 mm. You may assume that is small Grade Summary Ayr Deductions 0% 100% Potential sino coso tan 7 8 9 Submissions HOME Attempts remaining: 5 cotano as 4 5 6 per attempt) 1 2 3 atano acotana sinh0 detailed view cosh00 tanh0 cotanh0 o Degrees O Radians Hint Feedback I give up! Submit

Explanation / Answer

for constructive interference

d*sintheta = m*lambda

from the figure

sintheta = y/x

d*y/x = m*lamdda

ym = m*lambda*x/d

for m+1

ym+1 = (m+1)*lambda*x/d

distacne between the adjacent fringes

dy lambda*x/d

dy = (633*10^-9*2.75)/(0.081*10^-3)

dy = 0.0215 m

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