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(A) For a single slit diffraction pattern, the condition for the first minimum is $d \sin 	heta = \lambda$, where $d$ is the slit width and $\lambda$

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Distance between the slit and the screen

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(A) For a single slit diffraction pattern, the condition for the first minimum is $d \sin 	heta = \lambda$, where $d$ is the slit width and $\lambda$ is the wavelength of light.Since $	heta$ is very small, $\sin 	heta \approx 	heta$, so $	heta = \frac{\lambda}{d}$.The angular width of the central maximum is $2	heta = \frac{2\lambda}{d}$.This expression shows that the angular width depends on the wavelength $(\lambda)$ and the slit width $(d)$.Since frequency $(f)$ is related to wavelength by $\lambda = \frac{c}{f}$, the angular width also depends on the frequency.However, it does not depend on the distance $(D)$ between the slit and the screen.

Angular width $(\beta)$ of the central maximum of a diffraction pattern on a single slit does not depend upon

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