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COMEDK · Physics · 26. Wave Optics

In Young's double slit experiment with sodium vapour lamp of wavelength \(589 \mathrm{~nm}\) and slit \(0.589 \mathrm{~mm}\) apart, the half angular width of the central maxima is

  1. A \(\sin ^{-1}(0.01)\)
  2. B \(\sin ^{-1}(0.0001)\)
  3. C \(\sin ^{-1}(0.001)\)
  4. D \(\sin ^{-1}(0.1)\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\sin ^{-1}(0.001)\)

Step-by-step Solution

Detailed explanation

In Young's double slit experiment, the angular width of the central maxima is defined by the position of the first minima on either side of the central point. The condition for the first minima in a double slit interference pattern is given by \(d \sin \theta = \lambda\), where…