In YDSC there is a point on the screen. The path difference at point is:

Given

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2 μm

8 μm

7 μm

9 μm

answer is A.

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Detailed Solution

Concept- The route difference is the difference between the two waves' paths from their sources to a particular place. If O is assumed to be the origin of the two waves in this image, the path difference is given by,

Think about the Young's double-slit experiment depicted in the above graphic.
Question Image

As the dotted line at P truly depicts the route difference, we can observe in the supplied image that there are no slits present. We obtain a modified diagram looking somewhat like this by writing the real figure representing the two slits and the two wavefronts separately.
Question Image

is the angle between the path difference and the horizontal reference line as shown.
The path difference,

Since the angle

is very small, we can say that,

Substituting, we get,

From the figure,

Thus, substituting the value of

, we get,

From the figure,

Thus, substituting the value of

, we get,

Substituting the values, we get

Hence, the correct option is 1.