Question

# For constructive interference to take place between two monochromatic light waves of wavelength $$\lambda$$, the path difference should be:

A
(2n1)λ4
B
(2n1)λ6
C
nλ
D
(2n1)λ2

Solution

## The correct option is C $$n\lambda$$For constructive interference the two monochromatic light waves should be in phase. If the path difference is $$\lambda$$, then $$\phi$$ the phase difference is $$2\pi$$.Thus, for constructive interference the two waves will be in phase if $$\phi$$ is a multiple of $$2\pi$$ i.e $$2n\pi$$ where n is an integer. Thus,  $$2\pi$$ corresponds to $$n\lambda$$ path difference.Physics

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