   Chapter 27, Problem 18CQ

Chapter
Section
Textbook Problem

It is possible that there is no minimum in the interference pattern of a single slit. Explain why. Is the same true of double slits and diffraction gratings?

To determine

Whether it is possible that there is no minimum in the interference pattern of a single slit and also to

determine whether it is possible in double slits and diffraction gratings.

Explanation

Introduction:

Single slit, double slit and diffraction gratings are used to diffract light and hence to produce spectrum.

The condition for destructive interference in the case of single slit is given by,

asinθ=nλ , n=1,2,3,........

Where, n order of the spectrum

λ wavelength of incident light

θ angle of diffraction

a slit width

The above condition is not satisfied for some particular values of angles like θ=0,180,360,.....

So, it is possible that there is no minimum in the interference pattern of a single slit

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