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KCET · Physics · Wave Optics

A plane wavefront of wavelength \( \lambda \) is incident on a slit of width \( \mathrm{a} \). The angular width of principle
maximum is

  1. A \( \frac{\lambda}{a} \)
  2. B \( \frac{(2 \lambda)}{a} \)
  3. C \( \frac{a}{\lambda} \)
  4. D \( \frac{a}{(2 \lambda)} \)
Verified Solution

Answer & Solution

Correct Answer

(B) \( \frac{(2 \lambda)}{a} \)

Step-by-step Solution

Detailed explanation

Given, wavelength \( =\lambda ; \) width of slit \( =\mathrm{a} . \) Therefore, angular width of central maximum \( 2 \theta=\frac{2 \lambda}{a} \)