light QUESTION A particular two-slit experiment is performed with the separation

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QUESTION A particular two-slit experiment is performed with the separation d equal to 7 times the slit width, a. Calculate the number of complete two-slit interference maxima you would expect to be able to find within (a) The central maximum of the diffraction pattern (b) first bright fringe of the diffraction pattern envelope on one side of the central maximum to carefully explain your reasoning (For example, use a diagram to show what the expected interference pattern would look like and which bright spots would be missing.)

Explanation / Answer

In interfreence or diffraction pattern, the needed equation is Y = mLa/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

d = slit width

a = is the distance from slit to screen

Y = disatnce from central spot to nth order fringe or fringe width

so here now we apply, if d= 7a

then

Y = 1/7)(mLa/d)

so m = 7

b. in between the first bright fringe, no. of idifffraction paterrns are 1

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