Question

10.31 in deriving the single sit diffraction partem, it was stated that the
intensity is zero at andles of naa Justify this boy bly dividing
the sill to bring out the cancellation​

Answer 1

Answer:

Explanation:

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 width of single slit is a is divided into n smaller slits. if a' is the width of each one of the smaller slits, a' = a/n. ....(1)

now for the single slit to produce zero intensity, each one of the smaller slits should also produce zero intensity.

But this is possible only if,

angle, α = λ/a'

or, α = λ/(a/n) [ from equation (1), ]

or, α = nλ/a

hence, it is clear that, in deriving the single slit diffraction pattern, it was stated that the intensity is zero at angles of .