CUET · PHYSICS · PYQ PAPER 2023
White light is used to illuminate the two slits in a Young's double slit experiment. The separation between the slits is b and the screen is at a distance D from the slits. At a point on a screen directly in front of one of the slits, certain wavelength are missing. Some of these wavelengths are :
(A) \( \lambda = \frac{b^2}{D} \)
(B) \( \lambda = \frac{2b^2}{D} \)
(C) \( \lambda = \frac{b^2}{3D} \)
(D) \( \lambda = \frac{2b^2}{3D} \)
Choose the correct answer from the options given below :
- A (D) only
- B (B) and (D) only
- C (C) only
- D (A) and (C) only
Answer & Solution
Correct Answer
(D) (A) and (C) only
Step-by-step Solution
Detailed explanation
Path difference: \( \Delta x = \sqrt{D^2 + b^2} - D \) \( \Delta x \approx D(1 + \frac{b^2}{2D^2}) - D = \frac{b^2}{2D} \) For missing wavelengths (destructive interference): \( \Delta x = (m + \frac{1}{2})\lambda \), where \( m = 0, 1, 2, \dots \)…
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