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In a diffraction pattern due to a single slit of width 'a' the first minimum is observed at an angle 30 deg when light of wavelength 5000 Å is incident on the slit. The first secondary maximum is observed at an angle of :
  • a)
    sin-1 (3/4)
  • b)
    sin-1 (1/4)
  • c)
    sin-1 (2/3)
  • d)
    sin-1 (3/2)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a diffraction pattern due to a single slit of width 'a' the...
Given that, first minimum is observed at an angle of 30º in a diffraction pattern due to a single slit of width a.
i.e., n = 1, θ = 30º
According to the Bragg's law of diffraction,

For 1st secondary maxima,

Putting the value of a from Eqn. (i) to Eqn. (ii), we get
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In a diffraction pattern due to a single slit of width 'a' the first minimum is observed at an angle 30 deg whenlight of wavelength 5000Å is incident on the slit. The first secondary maximum is observed at an angleof :a)sin-1 (3/4)b)sin-1(1/4)c)sin-1 (2/3)d)sin-1 (3/2)Correct answer is option 'A'. Can you explain this answer?
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