Waves

A uniform rope of length '\(L\)' and mass '\(m_1\)' hangs vertically from a rigid support. A block of mass '\(m_2\)' is attached to the free end of the rope. A transverse wave of wavelength '\(\lambda_1\)' is produced at the lower end of the rope. The wavelength of the wave when it reaches the top of the rope is '\(\lambda_2\)'. The ratio \(\frac{\lambda_1}{\lambda_2}\) is