Young's double slit interference apparatus is immersed in a liquid of refractive index 1.44. It has slit separation of 1.5 mm. The slits are illuminated by a parallel beam of light whose wavelength in air in 690 mm. The fringe-width on a screen placed beh

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Solution

Q.
Young's double slit interference apparatus is immersed in a liquid of refractive index 1.44. It has slit separation of 1.5 mm. The slits are illuminated by a parallel beam of light whose wavelength in air in 690 nm. The fringe-width on a screen placed behind the plane of slits at a distance of 0.72 m, will be: [2025]

1 0.23 mm

2 0.33 mm

3 0.63 mm

4 0.46 mm

Ans.
(1)

$β = (\frac{λ_{0}}{μ}) \times \frac{D}{d} = \frac{690 \times 10^{- 9} \times 0.72}{1.44 \times 1.5 \times 10^{- 3}} = 0.23 mm$

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