Consider a diffraction pattern produced by a laser shining through two slits sep

Question

Consider a diffraction pattern produced by a laser shining through two slits separated by a distance d. Now suppose the slit-separation d is decreased a little, while everything else is kept fixed. In order to maintain the same pattern on the screen (i.e., with the same peak separation), which of the following statements is true? The wavelength of the light should be increased? The wavelength of the light should be decreased? The pattern didn't change when d changed, so nothing needs to be done. changing the wavelength of the light cannot return the old pattern. None of the above is true. A single slit pattern is formed by shining a laser of wavelength lambda. through a single slit on to a screen. The position on the screen of the first intensity minimum (to the side of the central maximum)is a little closer to one edge of the slit than to the other edge of the slit. How much closer is to the nearer side of the slit? Red laser light with the wavelength of 6328 times 10-10passes through a single slit 0.04mm wide. The 3rd order bright fringe diverges from the unobstructed path of the laser by radians. (Use small angle approximation.)

Explanation / Answer

In interfreence or diffraction pattern,

the needed equation is Y = mLR/d---------------1

and d sin theta = mL--------------------2

where L = wavelgnth,

m = order = 1,2,3,4, ......... for brigth bands

m = 1.5, 2.5, 3.5, 4.5, ......for dark bands

R is the distance from slit to screen,

Y = disatnce from central spot to nth order fringe

------------------------------------
part 3 :

d sin theta = mL

sin theta = 3 * 632.8 e-9/(0.04 e-3)

sin theta = 0.0474

theta = 0.0474 radians

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part 4 :

Y3 = 3 * 632.8 e -9 * 0.6/(0.04 e-3)

Y3 = 2.84 cm

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