Two waves originating from S_1 and S_2,having | vedclass

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(D) For completely destructive interference (minima),the path difference $\Delta x$ between the two waves must be an odd multiple of half the waveleng

Vedclass · Accepted Answer

$5.5 \lambda$

Vedclass · Answer

(D) For completely destructive interference (minima),the path difference $\Delta x$ between the two waves must be an odd multiple of half the wavelength.Mathematically,$\Delta x = (2n - 1) \frac{\lambda}{2}$,where $n = 1, 2, 3, \dots$This can also be written as $\Delta x = 0.5 \lambda, 1.5 \lambda, 2.5 \lambda, 3.5 \lambda, 4.5 \lambda, 5.5 \lambda, \dots$Comparing this with the given options,$5.5 \lambda$ corresponds to the case where $n = 6$ (i.e.,$\Delta x = (2 	imes 6 - 1) \frac{\lambda}{2} = 11 \frac{\lambda}{2} = 5.5 \lambda$).Therefore,the correct option is $5.5 \lambda$.

Two waves originating from $S_1$ and $S_2$,having zero initial phase difference and common wavelength $\lambda$,will show completely destructive interference at $P$,if $(S_1 P - S_2 P)$ is

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