Problem 28.26 - Copy Part A IP When green light ( = 565 nm ) passes through a pa

Question

Problem 28.26 - Copy Part A IP When green light ( = 565 nm ) passes through a pair of double slits, the interference pattern (a) shown in the figure(Figure 1) is observed. When light of a different color passes through the same pair of slits, the pattern (b) is observed Is the wavelength of the second color longer or shorter than 565 nm? longer shorter Submlt My Answers Give Up Part B Find the wavelength of the second color. (Assume that the angles involved are small enough to set sin ~ tan .) Figure 1 of 1 hm Submit My Answers Give Up rovide Feedback Continue

Explanation / Answer

Here,

part A)

width of the bright fringe is given as

y = wavelength * D/d

as the width of fringe for green color is more

the wavelength of the second color is shorter.

part B)

for the same width

y1 = y2

4.5 * 565 * D/d = 5 * wavelength * D/d

wavelength = 508.5 nm

the new wavelength is 508.5 nm

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