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AP EAMCET · PHYSICS · Wave Optics

In a Young's double slit experiment, a laser light of wave length \(560 \mathrm{~nm}\) produces an interference pattern with consecutive bright fringe's separation of \(7.2 \mathrm{~mm}\). Now another light is used to produce an interference pattern with consecutive bright fringes' separation of \(8.1 \mathrm{~mm}\). The wavelength of second light is

  1. A \(680 \mathrm{~nm}\)
  2. B \(630 \mathrm{~nm}\)
  3. C \(650 \mathrm{~nm}\)
  4. D \(540 \mathrm{~nm}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(630 \mathrm{~nm}\)

Step-by-step Solution

Detailed explanation

Wave length of light, \(\lambda=560 \mathrm{~nm}=560 \times 10^{-9} \mathrm{~m}\) Fringes separation, \[ \begin{aligned} & \beta_1=7.2 \times 10^{-3} \mathrm{~m} \\ & \beta_2=8.1 \times 10^{-3} \mathrm{~m} \end{aligned} \] As we know…