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  4. In a Young's double-slit experiment the fringe width is 0.2 mm. If the wavelength of light used is increased by 10 % and the separation between the slits is also increased by 10 %, the fringe width will be

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Q. In a Young's double-slit experiment the fringe width is $0.2 \,mm$. If the wavelength of light used is increased by $10 \%$ and the separation between the slits is also increased by $10 \%$, the fringe width will be

Wave Optics

Solution:

$\beta=\frac{\lambda D}{d} ;$ If $\lambda$ and $d$ both increase by $10 \%$,
there will be no change in fringe width $(\beta)$.