First slide

Coherent sources and their importance in interference

Question

The two slits at a distance of 1 mm are illuminated by the light of wavelength $6 .5 \times 10^{- 7} m$ . The interference fringes are observed on a screen placed at a distance of 1m. The distance between third dark fringe and fifth bright fringe will be

Moderate

A

0.65 mm
B

1.63 mm
C

3.25 mm
D

4.88 mm

Solution

$Distance between n^{th} Bright fringe and m^{th} dark fringe (n > m)$
$Δx = (n - m + \frac{1}{2}) β = (5 - 3 + \frac{1}{2}) \times \frac{6 .5 \times 10^{- 7} \times 1}{1 \times 10^{- 3}} = 1 .63 mm$

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