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(B) For constructive interference,the two superimposing light waves must be in phase with each other.This means the phase difference between the waves

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$n\lambda$

Vedclass · Answer

(B) For constructive interference,the two superimposing light waves must be in phase with each other.This means the phase difference between the waves must be an integer multiple of $2\pi$,i.e.,$\Delta\phi = 2n\pi$,where $n = 0, 1, 2, ...$.Since the relationship between path difference $(\Delta x)$ and phase difference $(\Delta\phi)$ is given by $\Delta\phi = (2\pi/\lambda) 	imes \Delta x$,we can substitute the condition for constructive interference:$2n\pi = (2\pi/\lambda) 	imes \Delta x$.Solving for $\Delta x$,we get $\Delta x = n\lambda$.Therefore,the path difference for constructive interference is an integer multiple of the wavelength $\lambda$.

Path difference between two light waves at a point $P$ for constructive interference will be

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