A uniform rope of length L and mass `m_(1)` hangsvertically from a rigid support. A block of mass `m_(2)` is attached to the free end of the rope. A transverse pulse of wavelength `lambda_(1)` is produced at the lower end of the rope. The wavelength of the pules when it reaches the top of the rope is `lambda_(2)`. The ratio `lambda_(2)//lambda_(1)` is :

Options

A. `sqrt((m_(1))/(m_(2))`
B. `sqrt((m_(1)+m_(2))/(m_(2)))`
C. `sqrt((m_(2))/(m_(2)))`
D. `sqrt((m_(1)+m_(2))/(m_(1)))`

Answer

B