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  4. For the constructive interference the path difference between the two interfering waves must be equal to

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Q. For the constructive interference the path difference between the two interfering waves must be equal to

KCETKCET 2009Waves

Solution:

Phase difference,
$\Delta \phi=\frac{2 \pi}{\lambda} \Delta x$
In a constructive interference,
$\Delta \phi=2 n \pi \,\,\,\,$ where $n=0,1,2,3, \ldots $
$\therefore \,\,\,\,\,2 n \pi=\frac{2 \pi}{\lambda} \Delta x$
Or $\,\,\,\,\,\Delta x=n \lambda$