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J Chegg Study I Guided Sc x lta The Expert TAI Human I x C Secure /common/TakeTu

ID: 1560134 • Letter: J

Question

J Chegg Study I Guided Sc x lta The Expert TAI Human I x C Secure /common/TakeTu alAssignment aspx Class Management Help omework 13 Begin Date: 4/7/2017 10:00:00 AM Due Date: 4 21/2017 59:00 PM End Date: 22/2017 59:00 PM (10%) Problem 9: A light with wavelength 685 nm falls on a pair of closely separated slits. The first dark fringe of the interference pattern is at an angle 0 4.75 degrees from the central maximum. Assignment Status Click here for detailed view Problem Status A 50% Part (a) Express the separation between the slits in terms of and 4 5 6 sin(o) sin(ap) sin(0) 1 2 3 Hints Feedback: 5% deduction per feedback. HA 50% Part b) Solve for the numerical value of din mm. TA LLC eexpertta com Grade Summary Deductions Potential 100% Suhl Attempts remaining: 00% per attempt) detailed view 6:35 PM 4/17/2017

Explanation / Answer

As it is the concept of youngs experiment so by following the given information and by looking at the diagram we can make out the following equation.

Tan(theta)= Y/D here y is the height at. Which image is formed and D is the distance between the slit and screen.

So at maxima the value will be y=m lamba D/d here small d is the distance between the slit so

The eq is

d sin (theta) = m (L) here as the angle is small so tan thetha= sin theta= theta.

b) applying the formula with values

d= m*685/ sin (4.75)

m*685/0.082

d = 0.83 m millimetres