Wave Optics

In Young's double slit experiment, the '\(\mathrm{n^{th}}\)' maximum of wavelength '\(\lambda_1\)' is at a distance '\(\mathrm{y_1}\)' from the central maximum. When the wavelength of the source is changed to '\(\lambda_2\)', \(\left(\frac{\mathrm{n}}{2}\right)^{\text {th }}\) maximum is at a distance of '\(\mathrm{y_2}\)' from its central maximum. The ratio \(\frac{y_1}{y_2}\) is