#### Question

In deriving the single slit diffraction pattern, it was stated that the intensity is zero at angles of *n**λ**/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 direction*θ*. Hence, the combination of these slits will give zero intensity.

Is there an error in this question or solution?

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.