A uniform rope of length \( L \) and mass \( m_{1} \) hangs vertica...

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
\( \mathrm{P} \) free end of the rope. A transverse pulse of wavelength \( \lambda_{1} \) is

W produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is \( \lambda_{2} \). The ratio \( \lambda_{2} / \lambda_{1} \) is
[NEET (Phase-I) 2016]
(a) \( \sqrt{\frac{m_{1}}{m_{2}}} \)
(b) \( \sqrt{\frac{m_{1}+m_{2}}{m_{2}}} \)
(c) \( \sqrt{\frac{m_{2}}{m_{1}}} \)
(d) \( \sqrt{\frac{m_{1}+m_{2}}{m_{1}}} \)