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COMEDK · Physics · 26. Wave Optics

In Young's double slit experiment, 1st dark fringe occurs directly opposite to a slit. Wavelength of light used is

  1. A \(d^{2} / D\)
  2. B \(d / D\)
  3. C \(D^{2} / d\)
  4. D \(2 d^{2} / D\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(d^{2} / D\)

Step-by-step Solution

Detailed explanation

For dark fringe, path difference, \(\Lambda x=\left(n+\frac{1}{2}\right) \lambda\) Also, \(\quad \Delta x=\frac{d y}{D} \Rightarrow \frac{d y}{D}=\left(n+\frac{1}{2}\right) \lambda\) For 1st dark fringe at directly opposite point of slit \(n=0, y=\frac{d}{2}\)…