First slide

Young's double slit Experiment

Question

In Young's double slit experiment, the two slits act as coherent sources of equal amplitude a and of wavelength $λ$ In other experiment with the same set up, the two slits are sources of equal amplitude a and wavelength $λ$ , but arc incoherent' The ratio of the intensity of light at the mid-point of the screen in the first case to that in the second case is

Moderate

A

2:1
B

1:2
C

3:4
D

4:2

Solution

$I_{max} = (a + a)^{2} = (2 a)^{2} = 4 a^{2} In second case I_{max}^{'} = a^{2} + a^{2} = 2 a^{2} \frac{intensity in first case}{intensity in second case} = \frac{4 a^{2}}{2 a^{2}} = \frac{2}{1}$

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