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Question

In a diffraction pattern due to a single slit of width a, the first minimum is observed at an angle 30o when light of wavelength 5000˚A is incident on the slit. The first secondary maximum is observed at an angle of :
  1. sin1(14)
  2. sin1(23)
  3. sin1(34)
  4. sin1(12)

A
sin1(23)
B
sin1(12)
C
sin1(34)
D
sin1(14)
Solution
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For first minima: sin 300=λa=12

First secondary maxima will be at:

sin θ=3λ2a=32×12

θ=sin1(34)

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