In a Young's double slit experiment, if the wavelength of light is increased by $50 \%$ and the distance between the slits is doubled then the percentage change in fringe width is

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Aicharya · Accepted Answer

Wavelength of light, $\lambda^{\prime}=50 \lambda$ Distance between the slit, $\mathrm{d}^{\prime}=2 \mathrm{~d}$ fringe width, $\beta^{\prime}=\frac{D \lambda^{\prime}}{d^{\prime}}$ $\begin{aligned} & =\frac{D 	imes 0.50 \lambda}{2 d}=0.25 \beta \ & \left|\frac{\beta^{\prime}-\beta}{\beta}ight| 	imes 100 \%=|0.25-1| 	imes 100 \% \ & =75 \% . \end{aligned}$

In a Young's double slit experiment, if the wavelength of light is increased by $50 \%$ and the distance…

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