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Solution: (A) The slit width of the grating is, d ssolines/(mmSom) =1.82x10m The expression for diffraction condition is, d sin @= mi Rearrange, The distance to the fringes from the central maximum is, y = Dtane Substituting we get y=D tan sin" mit.)
The distance of the first order for red light is, }} = D tan sin" mai.) I ((1)(656nm) com =(1.3m) tan sin? 1.82x10-m = 0.502 m The distance of the first order for blue light is, vp = D tan (sin" (mod)) [ {(1)(486nm) 100nm =(1.3m)tan sin 1.82x10m =0.360m The distance between the first order red and blue fringes is, y = yr YB =0.502m -0.360m =0.142m 0.14m
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