Light of wavelength 630 nm is incident on a long, narrow slit.

Question

a)Determine the angular deflection of the first diffraction minimum if the slit width is 0.020 mm.

b)Determine the angular deflection of the first diffraction minimum if the slit width is 0.20 mm.

c)Determine the angular deflection of the first diffraction minimum if the slit width is 2.0 mm.

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Answer 1

bsinφ=k λ
sinφ=kλ/b,
a) sinφ=1•630•10⁻⁹/0.020•10⁻³=0.0315
φ=1.8°
b) sinφ=1•630•10⁻⁹/0.20•10⁻³=0.0035
φ=0.18°
c) sinφ=1•630•10⁻⁹/0.20•10⁻³=0.00035
φ=0.02°

Answer 2

the answer for C is .018