Question

In: Physics

how does the diffraction peak width vary with the slith width? how does the number of...

how does the diffraction peak width vary with the slith width?
how does the number of secondary maxima vary with slit width?

Solutions

Expert Solution

A) Let the wavelength of the light used for diffraction be and the width of the slit be .

So, the central diffraction peak to occur we have the condition that,

For the angle theta very small we have

So the diffraction peak width,

So the width of the peaks increases for the small slit width and decreases for large slit width.

B) There are minima between two adjacent principal maxima there must be other maxima between two principal maxima. These are known as secondary maxima. So you can see the number of secondary maxima is not 'dependent on the slit width. In other words, we can say that varying the slit width we can vary the width and sharpness of the maximums but they will be eventually at the same place as they were before. So the no of secondary maxima does not vary with slits.


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