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AP EAMCET · PHYSICS · Wave Optics

In Young's double slit experiment, the wavelengths of red and blue lights used are \(7.5 \times 10^{-5} \mathrm{~cm}\) and \(5 \times 10^{-5} \mathrm{~cm}\) respectively. If \(\mathrm{n}^{\text {th }}\) bright fringe of red color coincides with \((n+1)^{\text {th }}\) bright fringe of blue colour, then the value of ' \(n\) ' is

  1. A \(1\)
  2. B \(2\)
  3. C \(4\)
  4. D \(8\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2\)

Step-by-step Solution

Detailed explanation

\(n \lambda_R = (n+1) \lambda_B\) \(n (7.5 \times 10^{-5}) = (n+1) (5 \times 10^{-5})\) \(7.5n = 5n + 5\) \(2.5n = 5\) \(n = 2\)
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