Two coherent sources

PHYSICS · Single correct · CBSE · Physics · Wave Optics · Wave Optics

Problem

Two coherent sources, each of intensity

I_0

, have a separation

d=\lambda/8

, where

\lambda

is the wavelength emitted by either source. The phase difference of the sources is

\pi/4

. The intensity distribution

I(\theta)

in the radiation field, where

\theta

specifies the direction from the sources to a distant observation point

P

, is given by (1)

I(\theta)=I_0\cos^2\theta

(2)

I(\theta)=\frac{I_0}{4}\cos^2\left(\frac{\pi\theta}{8}\right)

(3)

I(\theta)=4I_0\cos^2\left[\frac{\pi}{8}(\sin\theta+1)\right]

(4)

I(\theta)=I_0\sin^2\theta