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 0.500 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 ?.

toward the slits

away from the slits

toward the slits

away from the slits

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

so here as Y1 = Y2

L1R1 = L2R2

R2 = 471 * 0.5/611

R2 = 0.385 m

so distance that screen has to be moved is

R1-R2 = 0.5-0.385

R1-R2 = 0.115 m away from the slit

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