First slide

Coherent sources and their importance in interference

Question

In Young's double slit experiment, carried out with light of wavelength $λ$ = 5000 Å, the distance between the slits is 0.2 mm and the screen is at 200 cm from the slits. The central maximum is at x =0. The third maximum (taking the central maximum as zeroth maximum) will be at x equal to

Moderate

A

1.67 cm
B

1.5 cm
C

0.5 cm
D

5.0 cm

Solution

Distance of third maxima from central maxima is
$x = \frac{3 λD}{d} = \frac{3 \times 5000 \times 10^{- 10} \times (200 \times 10^{- 2})}{0 .2 \times 10^{- 3}} = 1 .5 cm$

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