First slide

Coherent sources and their importance in interference

Question

In Young’s double slit experiment, distance between two sources is 0.1 mm. The distance of screen from the sources is 20 cm. Wavelength of light used is 5460 Å. Then angular position of the first dark fringe is

Moderate

A

$0 {.08}^{\circ}$
B

$0 {.16}^{\circ}$
C

$0 {.20}^{\circ}$
D

$0 {.313}^{\circ}$

Solution

Angular position of first dark fringe
$θ = \frac{λ}{d} = \frac{5460 \times 10^{- 10}}{0 .1 \times 10^{- 3}} \times \frac{180}{π} (in degree) = 0.313 °$

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