Question:

In a Young's double slit experiment, the slits are separated by 0.2 mm. If the slits separation is increased to 0.4 mm, the percentage change of the fringe width is:

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The fringe width is inversely proportional to the slit separation.
Updated On: Apr 25, 2025
  • $0 \%$
  • $100 \%$
  • $50 \%$
  • $25 \%$
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The Correct Option is C

Solution and Explanation

1. Fringe width formula: \( \beta = \frac{D \lambda}{d} \) 
2. Percentage change of fringe width: 
- If $d$ is doubled, $\beta$ is halved. 
- Therefore, the percentage change is $50%$. 
Therefore, the correct answer is (3) $50 %$.

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