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CUET · PHYSICS · PYQ PAPER 2023

If the 8th bright band of wavelength \( \lambda_1 \) coincides with 9th bright band of wavelength \( \lambda_2 \) in a Young's double slits experiment then the possible wavelength of two lights are :

  1. A \( \lambda_1 = 450 \text{ nm}, \lambda_2 = 400 \text{ nm} \)
  2. B \( \lambda_1 = 400 \text{ nm}, \lambda_2 = 450 \text{ nm} \)
  3. C \( \lambda_1 = 425 \text{ nm}, \lambda_2 = 450 \text{ nm} \)
  4. D \( \lambda_1 = 400 \text{ nm}, \lambda_2 = 425 \text{ nm} \)
Verified Solution

Answer & Solution

Correct Answer

(A) \( \lambda_1 = 450 \text{ nm}, \lambda_2 = 400 \text{ nm} \)

Step-by-step Solution

Detailed explanation

\( n_1 \lambda_1 = n_2 \lambda_2 \) \( 8 \lambda_1 = 9 \lambda_2 \) \( \frac{\lambda_1}{\lambda_2} = \frac{9}{8} \) \( \lambda_1 = 450 \text{ nm}, \lambda_2 = 400 \text{ nm} \Rightarrow \frac{450}{400} = \frac{9}{8} \)
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