A parallel beam of monochromatic light falls normally on single narrow slit. The angular width of the…

A parallel beam of monochromatic light falls normally on single narrow slit. The angular width of the central maximum in the resulting diffraction pattern
  1. decrease with decrease of slit width
  2. decreases with increase of slit width
  3. increases with increase of slit width
  4. may increase or decrease

Solution

Width of central maximum, $\beta=\frac{2 \lambda D}{d} \propto \frac{1}{d}$, where $d$ is width of the slit. "The angular width of central maximum decreases with increase of slit width."

Asked in: MHT CET 2022 (10 Aug Shift 2)

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