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  4. In a Young's double slit experiment, the fringe width is found to be text2 mm , when light of wavelength 6000 Å is used. Find the final fringe width if the whole apparatus is immersed in water having refractive index as text1 text.33 .

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Q. In a Young's double slit experiment, the fringe width is found to be $\text{2 mm}$ , when light of wavelength $6000 \, Å$ is used. Find the final fringe width if the whole apparatus is immersed in water having refractive index as $\text{1} \text{.33}$ .

NTA AbhyasNTA Abhyas 2020Wave Optics

Solution:

Fringe width $\beta =2 \, mm=2\times 10^{- 3} \, m$
$\lambda =6000 \, Å$
$\mu =1.33$
$\beta ^{′}=?$
$\beta ^{′}=\frac{\beta }{\mu }$
$=\frac{2}{1.33}$
$= \, 1.5 \, mm$