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Two coherent point sources $s_{1}$ and $s_{2}$ vibrating in phase emit light of wavelength $λ$ The separation between the sources is $2 λ$ . The smallest distance from $s_{2}$ on a line passing through $s_{2}$ and perpendicular to $s_{1} s_{2}$ , where a minimum intensity occurs is $\frac{7 λ}{3 p}$ then p value is________

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answer is 4.

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Detailed Solution

For minima the minimum path difference is $\frac{3 λ}{2}$ , then

$\begin{array}{l} \sqrt{{(2 λ)}^{2} + y^{2}} - y = \frac{3 λ}{2} \\ \Rightarrow y = \frac{7 λ}{12} \end{array}$

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