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(B) In Fraunhofer diffraction due to a single slit of width $a$, the condition for the first minima on either side of the central maximum is given by

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$\frac{2\lambda}{a}$

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(B) In Fraunhofer diffraction due to a single slit of width $a$, the condition for the first minima on either side of the central maximum is given by $a \sin 	heta = \pm \lambda$.For small angles, $\sin 	heta \approx 	heta$, so $	heta = \pm \frac{\lambda}{a}$.The angular width of the central (principal) maximum is the angular distance between the first minima on both sides.Therefore, angular width $= 	heta - (-	heta) = 2	heta = \frac{2\lambda}{a}$.

$A$ plane wavefront of wavelength $\lambda$ is incident on a slit of width $a$. The angular width of the principal maximum is

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