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Question: Answered & Verified by Expert
A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern
PhysicsWave OpticsMHT CETMHT CET 2023 (10 May Shift 2)
Options:
  • A increases with increase of slit width.
  • B decreases with increase of slit width.
  • C decreases with decrease of slit width.
  • D may increase or decrease with decrease of slit width.
Solution:
2641 Upvotes Verified Answer
The correct answer is: decreases with increase of slit width.
Width of central maximum $W_c=2\left\lfloor\frac{\lambda D}{a}\right\rfloor$
$\Rightarrow \mathrm{W}_{\mathrm{e}} \propto \frac{1}{\mathrm{a}}$
$\therefore \quad$ Angular width of principal maximum decreases with increase in width of the slit.

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