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In Young's double slit experiment, if the entire setup is shifted to water from air, to keep fringe width unchanged (refractive indices of water and air are 4/3 and 1 respectively)

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An Intiative by Sri Chaitanya

Distance between slits and screen can be increased by 33.3%

Distance between slits can be reduced by 25%

Distance between slits can be increased to 3 times and distance between slits and screen can be increased to 4 times

none of the above

answer is A, B, C.

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Detailed Solution

As, $β = \frac{λ D}{d} ∴ β^{'} = \frac{λ^{'} D^{'}}{d^{'}}$

If $d^{'} = 2 d$ , we get

$β^{'} = \frac{λ^{'} D^{'}}{2 d}$
To keep $β'$ and $β$ equal either $λ$ is to be made double or $D$ is to made double.

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