Geometrical Optics

A monochromatic light wave with wavelength \(\lambda_{1}\) and frequency \(v_{1}\) in air enters another medium. If the angle of incidence and angle of refraction at the interface are \(45^{\circ}\) and \(30^{\circ}\) respectively, then the wavelength \(\lambda_{2}\) and frequency \(v_{2}\) of the refracted wave are: