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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

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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.

  Is there an error in this question or solution?
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Solution 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. Concept: Diffraction - Seeing the Single Slit Diffraction Pattern.
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