A double-slit barrier with slit separation distance \(d\) is a distance \(L\) from a screen, with \(L \gg d\). When green laser light \(\left(\lambda_{\mathrm{g}}=543 \mathrm{~nm}\right)\) passes through the barrier, the bright fringes on the screen are a distance \(y_{\mathrm{g}}\) apart. When red laser light \(\left(\lambda_{\mathrm{r}}=694 \mathrm{~nm}\right)\) passes through the barrier, the bright fringes on the screen are a distance \(y_{\mathrm{r}}\) apart. Determine the ratio \(y_{\mathrm{r}} / y_{\mathrm{g}}\)