State the conditions to get constructive and destructive interference of light.

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Q. State the conditions to get constructive and destructive interference of light.

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2018Subjective· 2mImportance★★★★★

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Whether interference is constructive or destructive at a point is fixed by the path difference between the two coherent waves arriving there, expressed as a whole or half number of wavelengths.

For two coherent sources of light producing an interference pattern, let $\Delta$ be the path difference between the two waves reaching a point, and $\phi$ the corresponding phase difference ( $\phi = \dfrac{2\pi}{\lambda}\Delta$ ).

Constructive interference (bright fringe): occurs when the waves arrive in phase, reinforcing each other, i.e. when the path difference is an integral multiple of the wavelength:

$\Delta = n\lambda, \quad n = 0, \pm1, \pm2, \dots \quad \Longleftrightarrow \quad \phi = 2n\pi.$

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Q.State the conditions to get constructive and destructive interference of light.

Concept understanding — Interference of Light

Q.State the conditions to get constructive and destructive interference of light.

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