what is the angle at which the dark fringe occurs?

Question

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

? · Answer

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°

what is the angle at which the dark fringe occurs?

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