A narrow tube is bent in the form of a circle of radius $R,$ as shown in the figure. Two small holes $S$ and $D$ are made in the tube at the positions right angle to each other. A source placed at $S$ generated a wave of intensity $I_0$ which is equally divided into two parts : One part travels along the longer path, while the other travels along the shorter path. Both the part waves meet at the point $D$ where a detector is placed If a maxima is formed at the detector then, the magnitude of wavelength $\lambda$ of the wave produced is given by $\pi R$
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$\frac{2 \pi}{\lambda} \Delta=2 \pi n(n=0,1,2,3, \dots) \Rightarrow \frac{2 \pi}{\lambda}(\pi R)=2 \pi n$
$\Rightarrow \lambda=\frac{\pi R}{n}=\pi R, \frac{\pi R}{2}$ $\frac{\pi R}{4} \ldots$
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