In Young\'s experiment a mixture of orange light (611 nm) and blue light (471 nm

Question

In Young's experiment a mixture of orange light (611 nm) and blue light (471 nm) shines on the double slit. The centers of the first-order bright blue fringes lie at the outer edges of a screen that is located 0.760 m away from the slits. However, the first-order bright orange fringes fall off the screen. By how much and in which direction (toward or away from the slits) should the screen be moved, so that the centers of the first-order bright orange fringes will just appear on the screen? It may be assumed that ? is small, so that sin ? = tan ?.
distance ? m
direction toward the slits

Explanation / Answer

use the equaiton 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

let y1 and y2 be the distances of the first bright fringes of the nlue and ornage light from middle of the screen

so for fisrt order m = 1

so

L = Yd/R

since here Y1 = Y2

Y1R1 = L2R2

R2 = (471/611) * 0.64

R2 = 0.493 m

R1-R2 = 0.64-0.4933

R1-R2 = 0.1467 m ------<<<<<<<<<<<Answer

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