1. 2/4 points Previous Answers YF13 36.P.023. An interference pattern is produce

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1. 2/4 points Previous Answers YF13 36.P.023. An interference pattern is produced by light of wavelength 540 nm from a distant source incident on two identical parallel slits separated by a distance (between centers) of 0.550 mm (a) If the slits are very narrow, what would be the angular positions of the first-order and second-order, two-slit, interference maxima? 1st order maximum 1.056 2nd order maximum 8-113 (b) Let the slits have width 0.390 mm. In terms of the intensity lo at the center of the central maximum, what is the intensity at each of the angular positions in part (a)? 1st order maximum 1 = 129 2nd order maximum 1 = Io Submit Answer Save Progress

Explanation / Answer

I = Io cos2 (phi/2)
where phi is phase difference = 2 pi d theta / lamda radians
d is distance between slits, theta is angular position of point in radians and lamda is wave length
phi = 360 d theta /lamda deg.   where theta is in radians
phi = 360 d (theta pi/180 ) / lamda deg. ( here theta is in deg)
phi = 2 pi d theta / lamda deg.    where theta is in deg.
I = io cos2( pi d theta / lamda)
for theta = 0.056 deg
I = 0.36 Io
for theta = 0.113 deg
I = 0.056 Io

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