Question
Plane microwaves are incident on a long slit having a width of 5.0cm. Calculate the wavelength of the microwaves if the first diffraction minimum is formed at $\theta=30^\circ.$

Answer

For first minimum diffraction, $\text{b}\sin\theta=\lambda$Here, $\theta=30^\circ,\text{b}=5\text{cm}$
$\therefore\lambda=5\times\sin30^\circ=\frac{5}{2}=2.5\text{cm}.$

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