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what is the angle at which the dark fringe occurs?

Waves pass through two slits 9.3 cm apart. 4.2 m away from the slits is the first area of destructive interference. if the wavelength is 3.2 cm, what is the angle at which the dark fringe occurs?

14.0 degrees

10.9 degrees

12.6 degrees

9.91 degrees

1 Answer

Relevance
  • 4 years ago

    d sinθ = (m+½)λ (for dark maxima)

    For first order dark fringe, m=0

    =>

    sinθ = λ/2d

    θ = arcsin (3.2/(2*9.3))

    θ = 9.91°

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