Question

Find the conditions for constructive and destructive interference. how does the intensity depend on the width of slit

Answer 1

Please refer to NCERT Physics XII textbook

Chapter wave optics

Page 361

 

Equations 10.10 and 10.11 are the conditions

 

the width of the slit determines the amount of the light entering through it. The boarder the opening of the slit the more light  passes through it.
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Answer 2

Concept:

Constructive interference occurs when the displacements of two interfering waves are in the same direction.

Destructive interference occurs when waves clash in such a way that they completely cancel each other out.

Find:

The conditions for constructive and destructive interference.

Solution:

For constructive interference to occur, the phase difference between the two waves must be an even integral multiple of $\pi$ . In destructive interference, the phase difference between the two waves is an odd integral multiple of $\pi$ .

The light casts a shadow when the slit widths are bigger than the wavelength of the light. Light diffraction occurs when the slit widths are narrow, and the light waves overlap on the screen. As a result, the light intensity increases as the slit width grows.

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