AP EAMCET · PHYSICS · Wave Optics
In Young's double slit experiment, the wavelength of monochromatic light is increased by \(20 \%\) and the distance between the two slits is decreased by \(25 \%\). If the initial fringe width is 0.3 mm, then the final fringe width is
- A 0.72 mm
- B 0.60 mm
- C \(0.16 \mathrm{~mm}\)
- D \(0.48 \mathrm{~mm}\)
Answer & Solution
Correct Answer
(D) \(0.48 \mathrm{~mm}\)
Step-by-step Solution
Detailed explanation
\( \beta_1 = 0.3 \text{ mm} \) \( \lambda_2 = 1.2 \lambda_1 \) \( d_2 = 0.75 d_1 \) \( \beta = \frac{\lambda D}{d} \) \( \beta_2 = \beta_1 \frac{\lambda_2}{\lambda_1} \frac{d_1}{d_2} \) \( \beta_2 = 0.3 \cdot \frac{1.2 \lambda_1}{\lambda_1} \cdot \frac{d_1}{0.75 d_1} \)…
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