ExamBro
ExamBro
AP EAMCET · PHYSICS · Wave Optics

Two coherent sources \(\mathrm{O}_1\) and \(\mathrm{O}_2\) in Young's double slit experiment are illuminated with monochromatic light of wavelength \(5000 Å\). If a second order dark fringe is formed at a point \(\mathrm{R}\) on the screen, the path difference \(\mathrm{O}_1 \mathrm{R} \sim \mathrm{O}_2 \mathrm{R}\) is

  1. A \(7.5 \mu \mathrm{m}\)
  2. B \(0.75 \mu \mathrm{m}\)
  3. C \(0.075 \mu \mathrm{m}\)
  4. D \(75 \mu \mathrm{m}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(0.75 \mu \mathrm{m}\)

Step-by-step Solution

Detailed explanation

For second order dark fringe \[ \Delta \mathrm{x}=\frac{3 \lambda}{2} \quad\left[\because \Delta \mathrm{x}=\left(\mathrm{n}-\frac{1}{2}\right) \lambda, \text { for } n \text {th minima }\right] \]…