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 :
- A \( \lambda_1 = 450 \text{ nm}, \lambda_2 = 400 \text{ nm} \)
- B \( \lambda_1 = 400 \text{ nm}, \lambda_2 = 450 \text{ nm} \)
- C \( \lambda_1 = 425 \text{ nm}, \lambda_2 = 450 \text{ nm} \)
- D \( \lambda_1 = 400 \text{ nm}, \lambda_2 = 425 \text{ nm} \)
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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