Question

Which is the destructive interference formula for diffraction grating problems? dsin = dcos = dcos = n dsin = n.

Answer 1

The destructive interference formula for diffraction grating problems is $d sin \theta = (n+\frac{1}{2})\lambda$.

What is the definition of destructive interference?

Destructive interference happens when the maxima of two waves are 180° out of phase a positive displacement of one wave is canceled exactly by a negative displacement of the other wave.

The formula for brighter patches resulting from constructive interference and darker patches resulting from destructive interference in a diffraction grating is:

$\rm d sin \theta = n \lambda$

The grating spacing is denoted by d, the angle of light is denoted by a the fringe order is denoted by n, and the wavelength is denoted by $\rm \lambda$.

The destructive interference formula is now based on the fact that destructive interference occurs between the fringes.

Hence the destructive interference formula for diffraction grating problems is $d sin \theta = (n+\frac{1}{2})\lambda$.

To learn more about destructive interference refer to the link;

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