When green light (wavelength = 505nm) passes through a pair of double slits, the

Question

When green light (wavelength = 505nm) passes through a pair of double slits, the interference pattern shown in Figure 28-36(a) is observed. When light of a different color passes through the same pair of slits, the pattern shown in figure 28-36(b) is observed. Is the wavelength of the second color greater than or less than 505nm? Explain. Find the wavelength of the second color. (Assume that the angles involved are small enough to set sin%u03B8=tan%u03B8.)

Could someone please explain to me how determine "m" values from these figures? Thank you.

Explanation / Answer

for double slit interfrerence pattern, Y = mLR/d

Y = distanc of the fringhe from central spot,

L = lambda = wavelngth

R = distance between slit and the screen,

d= slit width

m = order of bright or dark fringe

m is choosen is choosen in such a way that for bright fringe it corresponds to integral values of 1,2,3,4 etc depending uppon order.

for dark fringe, m+0.5, for first order, m=0, thus = 0.5

similarly for next hoghher orders it is 1.5, 2.5, 3.5 etc

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