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: [2025]

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Solution

Q.
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: [2025]

1 0%

2 100%

3 50%

4 25%

Ans.
(3)

$β_{1} = \frac{λ D}{d}$

$β_{2} = \frac{λ D}{2 d} = \frac{β_{1}}{2}$

%change = 50%

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