A beam of light consisting of two wavelengths 600 nm and 500 nm is used in a Young's double slit experiment. The slit separation is 1.0 mm and the…

$\displaystyle \boldsymbol{n}_{1} \lambda_{1}=\boldsymbol{n}_{2} \lambda_{2}$

$\displaystyle \frac{\mathbf{1}}{\mathbf{2}}$

$$\begin{aligned} \mathrm{n} \times $\displaystyle 600$ & =(\mathrm{n}+$\displaystyle 1$) $\displaystyle 500$ \mathrm{n} & =$\displaystyle 5$ x_{$\displaystyle 5$} & =\frac{5 \lambda D}{d} x_{$\displaystyle 5$} & =\frac{$\displaystyle 2$ \times $\displaystyle 600$ \times $\displaystyle 10$^{-$\displaystyle 9$} \times $\displaystyle 0.60$}{$\displaystyle 10$^{-$\displaystyle 3$}} & =$\displaystyle 1.8$ \mathrm{~mm} \end{aligned}