In a setup like that in Figure 27.7, a wavelength of 625 nm isused in a Young’s
ID: 1674839 • Letter: I
Question
In a setup like that in Figure 27.7, a wavelength of 625 nm isused in a Young’s double-slit experiment. The separationbetween the slits is d = 1.4 x 10-5 m. Thetotal width of the screen is 0.20 m. In one version of the setup,the separation between the double slit and the screen isLA = 0.40 m, whereas in another version it isLB = 0.43 m. On one side of the central brightfringe, how many bright fringes lie on the screen in the twoversions of the setup? Do not include the central bright fringe inyour counting.
Explanation / Answer
tan = (y/L) = (3/0.40m) = 0.132second, Express youranswer in terms of the separation d between the two slits, the sine of theangle that locates the angular position of abright fringe, and the wavelength .
m = d * (sin/ ) =(1.4*10^-5) (sin(0.132) / (6.25*10^-7) =5
for Lb: 0.43 = 5
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