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  4. In Young's double-slit experiment, the path difference between two interfering waves at a point on the screen is 13.5 times the wavelength. The point is

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Q. In Young's double-slit experiment, the path difference between two interfering waves at a point on the screen is $13.5$ times the wavelength. The point is

NTA AbhyasNTA Abhyas 2020Wave Optics

Solution:

Given,
Path difference $\left(\Delta \right)=13.5\lambda $ ......(i)
We know that, for minima
Path difference $\left(\Delta \right)=\left(n + \frac{1}{2}\right)\lambda $ ......(ii)
We can write Eq. (i) in the following form
$\Delta =\left(13 + \frac{1}{2}\right)\lambda $ ......(iii)
From Eq. (ii) and (iii), it is clear that there will be minima. So, the point will be dark.