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657.


Problem 46.13 (RHK)


We have to calculate the width of the central maximum in a single-slit diffraction pattern in which .


Solution:           Click For PDF Version

The width of central maximum of diffraction pattern is defined to be the angular width where

The half-angle which determines the width of the central maximum can therefore be determined by using the condition that

This equation can be solved graphically or by the method of iteration. Its solution is

It is given that

Therefore,

Therefore, the angular width of the diffraction central maximum for the data given in the problem will be