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MHT CET · Physics · Wave Optics

In Young's double slit experiment, in an interference pattern second minimum is observed exactly in from of one slit. The distance between the two coherent sources is ' d ' and the distance between source and screen is 'D'. The wavelength of light source used is

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

Answer & Solution

Correct Answer

(B) \(\frac{\mathrm{d}^2}{3 \mathrm{D}}\)

Step-by-step Solution

Detailed explanation

Path difference for second minimum: \(\Delta L = (1 + 1/2)\lambda = 3\lambda/2\) Position on screen: \(y = d/2\)