A physics professor wants to perform a lecture demonstration of Young\'s double-

Question

A physics professor wants to perform a lecture demonstration of Young's double-slit experiment for her class using the 633-nm light from a He-Nelaser. Because the lecture hall is very large, the interference pattern will be projected on a wall that is 5.0m from the slits. For easy viewing by all students in the class, the professor wants the distance between the m = 0 and m = 1 maxima to be 30cm .

What slit separation is required in order to produce the desired interference pattern? include the appropriate units.

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 or fringe width

so here now we apply d = mLR/Y

d = 1 * 633nm * 5/0.3

d = slit width = 10.5 um   or 0.0105 mm

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