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Two waves originating from source S₁ and S₂ having zero phase difference and common wavelength $λ$ will show completely destructive interference at a point P if $(S_{1} P - S_{2} P)$ is

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$5 λ$

$3 λ / 4$

$2 λ$

$11 λ / 2$

answer is D.

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Detailed Solution

There will be destructive interference at a point if the path difference is odd multiple of $\frac{λ}{2}$

$\Rightarrow ∆ x = \frac{(2 n + 1) λ}{2}$

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