6
QuizMultiple Choice

Diffraction — Quiz

Question 6 • Physics

Which is the destructive interference formula for diffraction grating problems?

Answer
A
d cos theta is equal to open paren n plus 1 half close paren times lambda
B
d sin theta is equal to open paren n plus 1 half close paren times lambda
C
d sin theta is equal to n lambda
D
d cos theta is equal to n lambda

Explanation

For destructive interference from adjacent slits, the path difference must be a half-integer multiple of the wavelength: (n + 1/2)λ. In a diffraction grating, the path difference is d sin θ, so the condition is d sin θ = (n + 1/2)λ. This is choice B; d sin θ = nλ describes constructive interference.

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