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