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# In Deriving the Single Slit Diffraction Pattern, It Was Stated that the Intensity is Zero at Angles of Nλ/A. Justify this by Suitably Dividing the Slit to Bring Out the Cancellation. - Physics

#### Question

In deriving the single slit diffraction pattern, it was stated that the intensity is zero at angles of nλ/a. Justify this by suitably dividing the slit to bring out the cancellation.

#### Solution

Consider that a single slit of width d is divided into n smaller slits.

∴Width of each slit, d' = d/n

Angle of diffraction is given by the relation,

theta = (d/d lambda)/d = lambda/d

Now, each of these infinitesimally small slit sends zero intensity in directionθ. Hence, the combination of these slits will give zero intensity.

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