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MHT CET · Physics · Wave Optics

The ratio of the distance of \(\mathrm{n}^{\text {th }}\) bright band and \(\mathrm{m}^{\text {th }}\) dark band from the central bright band in an interference pattern is

  1. A n: m
  2. B m: n
  3. C \(n:\left(m-\frac{1}{2}\right)\)
  4. D \(\left(n-\frac{1}{2}\right): m\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(n:\left(m-\frac{1}{2}\right)\)

Step-by-step Solution

Detailed explanation

\(y_{\text{bright}} = \frac{n\lambda D}{d}\) \(y_{\text{dark}} = \frac{(m - \frac{1}{2})\lambda D}{d}\)