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  4. The separation between successive fringes in a double slit arrangement is x. If the whole arrangement is dipped under water, what will be the new fringe separation? The wavelength of light being used is 5000 mathringA ]

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Q. The separation between successive fringes in a double slit arrangement is $x$. If the whole arrangement is dipped under water, what will be the new fringe separation? The wavelength of light being used is $5000 \mathring{A}$ ]

Wave Optics

Solution:

When the arrangement is dipped in water,
$\beta'=\frac{\beta}{\mu}=\frac{x}{4 / 3}=\frac{3}{4} x=0.75\, x$