Question

# In an interference pattern produced by two identical slits, the intensity at the site of the central maximum is I. The intensity at the same spot when either of the two slits is closed is $$I_{\circ}$$. We must have:

A
I=I
B
I=2I
C
I=4I
D
I and I are not related

Solution

## The correct option is D $$I = 4I_{\circ}$$In case of constructive interference of waves due to 2 slits is, the intensity of central maxima is given by,$$E^2 = E_1^2 + E_2^2 + 2 E_1 E_2$$where E is the amplitude. For coherent sources, $$E^2 = I$$Hence, $$I = I_0 + I_0 + 2I_o$$Or  $$I = 4$$ $$I_0$$Physics

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