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Question
If Young's double slit experiment is performed in water, _________________ .
Options
the fringe width will decrease
the fringe width will increase
the fringe width will remain unchanged
there will be no fringe
Solution
the fringe width will decrease
As fringe width is proportional to the wavelength and wavelength of light is inversely proportional to the refractive index of the medium,
Here,
\[\lambda_M = \lambda/\eta\]
\[ \lambda_M = \text{wavelength in medium}\]
\[\lambda = \text{wavelength in vacuum}\]
\[\eta = \text{refractive index of medium}\]
Hence, fringe width decreases when Young's double slit experiment is performed under water.
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