In YDSE suppose two slits are illuminated by two different lights having wavelength $λ_{1} and λ_{2 .}$ Then

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Intensity of any point on the screen is $(I_{1} + I_{2}) .$ Where and are the intensities of light emerging from the slits.

the slits behave like coherent sources.

width of fringe pattern , obtained on the screen in $\frac{(λ_{1} + λ_{2}) D}{2 d} .$

a definite fringe pattern will be obtained on the screen.

answer is C.

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Detailed Solution

Since wavelength of light emerging from the slits are different, their frequencies are different. Therefore the sources behave like incoherrent sources, Hence no definite fringe pattern is obtained on the screen and at any point intensity of light at any point on the screen is $(I_{1} + I_{2})$ .
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