Two monochromatic and coherent point sources | vedclass

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Question

(B) For two coherent point sources $S_1$ and $S_2$ separated by a distance $d$, the condition for constructive interference at any point $P$ is given

Vedclass · Accepted Answer

family of hyperbolas

Vedclass · Answer

(B) For two coherent point sources $S_1$ and $S_2$ separated by a distance $d$, the condition for constructive interference at any point $P$ is given by the path difference: $|S_1P - S_2P| = n\lambda$, where $n = 0, 1, 2, ...$ and $\lambda$ is the wavelength of light.By definition, the locus of points where the difference of distances from two fixed points (foci) is a constant $(n\lambda)$ is a hyperbola.Since $n$ can take multiple integer values, each value of $n$ corresponds to a different hyperbola.Therefore, the locus of all points in the horizontal plane exhibiting constructive interference forms a family of hyperbolas.

Two monochromatic and coherent point sources of light are placed at a certain distance from each other in the horizontal plane. The locus of all those points in the horizontal plane which have constructive interference will be

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