First slide

Coherent sources and their importance in interference

Question

In the arrangement shown $L_{1}$ , $L_{2}$ are slits and $S_{1}$ , $S_{2}$ two independent sources on the screen, interference fringes

Moderate

A

will not be there
B

will not be there if the intensity of light reaching the screen from $S_{1}$ and $S_{2}$ are equal.
C

will be there under all circumstances
D

will have only the central fringe

Solution

$On the screen, we have four amplitudes pair wise coherent. (A_{1} + A_{2}) + (A_{3} + A_{4}) \equiv A_{12} + A_{34} However, if A_{12} and A_{34} have equal magnitude because of random phase of A_{12} and A_{34}, no fringes will be seen.$

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