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(D) For destructive interference to occur at a point,the path difference between the two waves must be an odd multiple of half the wavelength.Mathemat

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$\frac{11}{2}\lambda$

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(D) For destructive interference to occur at a point,the path difference between the two waves must be an odd multiple of half the wavelength.Mathematically,the path difference $\Delta x = (2n + 1) \frac{\lambda}{2}$,where $n = 0, 1, 2, ...$For $n = 5$,the path difference is $\Delta x = (2(5) + 1) \frac{\lambda}{2} = 11 \frac{\lambda}{2} = \frac{11}{2}\lambda$.Comparing this with the given options,option $(D)$ matches this condition.

Two sources $S_1$ and $S_2$ emit waves of wavelength $\lambda$. For destructive interference at point $P$,the path difference $(S_1P - S_2P)$ must be:

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