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CUET · PHYSICS · PYQ PAPER 2023

Monochromatic lights of wavelengths \(6 2 0 ~ n m\) and \(6 2 6 ~ n m\), respectively are used to study diffraction at a single slit of aperture \(0 . 7 ~ m m\). The distance between the slit and the screen is 1.8 m . The separation between the positions of the first maxima of the diffraction pattern obtained in the two cases is

  1. A 0.023 mm
  2. B 0.23 mm
  3. C 2.31 mm
  4. D 23.13 mm
Verified Solution

Answer & Solution

Correct Answer

(B) 0.23 mm

Step-by-step Solution

Detailed explanation

\( \Delta y = \frac{3}{2} \frac{D}{a} (\lambda_2 - \lambda_1) \) \( \Delta y = \frac{3}{2} \frac{1.8~m}{0.7 \times 10^{-3}~m} (626 \times 10^{-9}~m - 620 \times 10^{-9}~m) \) \( \Delta y = \frac{3}{2} \frac{1.8}{0.7 \times 10^{-3}} (6 \times 10^{-9})~m \)…