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IF youngs double slit exp apparatus is dipped in liquid of refrsactive index “n” then new frimge width will be

IF youngs double slit exp apparatus is dipped in liquid of refrsactive index “n” then new frimge width will be

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1 Answers

Arun
25758 Points
3 years ago

On immersing the apparatus in water, the speed of wave travelling in water decreases and hence it’s wavelength decreases as v ∝ λ

Thus the new wavelength is 1/n times the the original wavelength since n=λ1/λ2

The fringe width originally is given by β1=λD/2d

The new fringe width within water will be given by β2=λD/2nd or β2=β1/n

Thus the fringe width decreases by a factor of n when immersed in water.

 

Regards

Arun

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