In a Young's double slit experiment, the slits are separated by 0.2 mm. If the slits separation is increased…

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:
  1. $0 \%$
  2. $100 \%$
  3. $50 \%$
  4. $25 \%$

Solution

$\beta=\frac{\mathrm{D} \lambda}{\mathrm{~d}} \propto \frac{1}{\mathrm{~d}}$
If d is doubled then $\beta$ is half so $50 \%$ decrement.

Asked in: JEE Main 2025 (04 Apr Shift 1)

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