In Young's double slit experiment, white light is used. The separation between the slits is b. The screen is at a distance d (d$$ $$b) from the slits. Some wavelengths are missing exactly in front of one slit. These wavelengths are

Question

In Young's double slit experiment, white light is used. The separation between the slits is b. The screen is at a distance d (d$$>> $$b) from the slits. Some wavelengths are missing exactly in front of one slit. These wavelengths are

Infinity Learn · Accepted Answer

Path difference between the rays reaching infront of slit $$S1$$ is.$$S1P$$−$$S2P=b2+d21/2$$−dFor distructive interference at P $$S1P-S2P=(2$$ $$n-1)$$λ$$2i$$.e (b2+d2)1/2-d=(2n-1)λ$$2$$⇒d $$1+b2d21/2-d=(2n-1)$$λ$$2$$⇒d $$1+b22d2+$$......$$-d=(2n-1)$$λ$$2(Binomial$$ $$Expansion)$$ ⇒$$b2d=(2n-1)$$λ$$2$$⇒λ$$=b2(2n-1)dFor$$ $$n=1$$, $$2$$............, λ$$=b2d$$, $$b23d$$

In Young's double slit experiment, white light is used. The separation between the slits is b. The screen is at a distance d (d>> b) from the slits. Some wavelengths are missing exactly in front of one slit. These wavelengths are

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