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The Expert TAIHuman- x C Secure l https:// Assignment Status Click here for deta

ID: 1627893 • Letter: T

Question

The Expert TAIHuman- x C Secure l https:// Assignment Status Click here for detailed view Problem Status 2 Partial 3 Partial Type here to search Class Management Help Homework ll Begin Date: 6/17/2017 12:06:00 AM Due Date: 6/21/2017 11:59:00 PM End Date: 622/2017 11:59:00 PM (13%) Problem 8: A light with wav elength 490 nm falls on a pair of closely separated slits. The first dark fringe of the interference pattern is at an angle 3.25 degrees from the central maximum. Otheexpertta.com A 50% Part (a) Express the separation between the slits in terms of and Grade Summary Deductions Potential 00% cos (a) cos(p) cos (6) 7 8 9 Submissions sin sin sin(e) Attempts remaining (09 per attempt) 1 2 3 detailed view Feedback: deduction per feedback. Hints A 9:57 PM 4 6/20/2017

Explanation / Answer


condition for destructive interference is d*sin(theta) = (m+0.5)*lamda


for first order dark fringe m = 1

then


d*sin(theta) = (0+0.5)*lamda

d*sin(theta) = lamda/2

d = lamda/(2*sin(theta))


if theta is small

then sin(theta) = theta


then

d = lamda/(2*theta)

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