Qstnid -5- In Young’s Double-slit Experiment Using Monochromatic Light Of Wavelengthλ, The Intensity Of Light At A Point On The Screen Where Path Difference Is Λ, Is <I>k </I>units. What Is The Intensity Of Light At A Point Where Path Difference Is Λ /3? - 10: Wave Optics - Neet-xii-physics

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NEET-XII-Physics

10: Wave Optics

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#5
In Young’s double-slit experiment using monochromatic light of wavelengthλ, the intensity of light at a point on the screen where path difference is λ, is K units. What is the intensity of light at a point where path difference is λ /3?

Ans : Let I₁ and I₂ be the intensity of the two light waves. Their resultant intensities can be obtained as:

Where,

= Phase difference between the two waves

For monochromatic light waves,

Phase difference =

Since path difference = λ,

Phase difference,

Given,

I’ = K

When path difference,

Phase difference,

Hence, resultant intensity,

Using equation (1), we can write:

Hence, the intensity of light at a point where the path difference is is units.