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629.


Problem 45.3 (RHK)


A double-slit experiment is performed with blue-green light of wavelength 512 nm. The slits are 1.2 mm apart and the screen is 5.4 m from the slits. We have to find the distance between the bright fringes as seen on the screen.


Solution:           Click For PDF Version

In the Young’s double-slit, the condition for interference maxima at small angles is

As angle is small, we approximate

,

where y is the distance on the screen of the interference maxima from the midpoint of the interference pattern, and D is the distance of the screen from the slits.

Therefore, the distance between the successive bright fringes will be

We use the data of the problem;

and

.

We find