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(B) The angular width of the central (principal) maxima in a single slit diffraction experiment is given by $\beta = \frac{2\lambda D}{d}$, where $d$

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increases but becomes less bright

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(B) The angular width of the central (principal) maxima in a single slit diffraction experiment is given by $\beta = \frac{2\lambda D}{d}$, where $d$ is the slit width, $\lambda$ is the wavelength, and $D$ is the distance of the screen from the slit.As the slit width $d$ is reduced, the linear width of the principal maxima increases because the width is inversely proportional to $d$ $(\beta \propto \frac{1}{d})$.However, as the slit width $d$ decreases, the amount of light passing through the slit decreases, which results in a decrease in the intensity of the diffraction pattern. Therefore, the principal maxima becomes less bright.

In a single slit diffraction experiment, the width of the slit is reduced. What happens to the linear width of the principal maxima?

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