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NCERT Class XII Chapter
Wave Optics
Questions With Solutions

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Question : 21
Total: 21
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:  
Let the single-slit of width a be divided into n smaller slits. If a′ is the width of each one of the smaller slits, a′ = a/n. For the single-slit to produce zero intensity, each one of the smaller slits should also produce zero intensity. This is possible if
θ = λ/a' or θ =
λ
a∕n
 or θ =
nλ
a
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