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Question -

In YoungтАЩs double-slit experimentusing monochromatic light of wavelength╬╗, the intensity of light at a point onthe screen where path difference is ╬╗, is┬аK┬аunits.What is the intensity of light at a point where path difference is ╬╗ /3?



Answer -

Let┬аI1┬аand┬аI2┬аbe the intensity of the two light waves. Theirresultant intensities can be obtained as:

Where,

= Phase difference between thetwo waves

Formonochromatic light waves,

Phase difference =┬а

Since path difference = ╬╗,

Phasedifference,┬а

Given,

IтАЩ =┬аK

When path difference

Phase difference,┬а

Hence, resultant intensity,┬а

Using equation (1), we can write:

Hence, the intensity of light at a point where thepath difference is┬аis┬аunits.

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