In the figure shown a sinusoidal wave is generated at the end `'A'`. The wave travels along
Channel: Doubtnut
Date: 2020-04-19

In the figure shown a sinusoidal wave is generated at the end `'A'`. The wave travels along positive `x-`axis and during its motions it encounter another string `BC` at the junction `'B'` at `x = 0`. The density of strings `AB` and `BC` and `rho` and `9rho` respectively and their radii of cross sections are `2r` and `r`. The wave funcation. amplitude and wavelength of incident wavs are respectively `y_(r), A_(r), lambda_(r)` and `y_(t), A_(t), lambda_(t)` repectively   img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/RES_WFPM_PHY_XI_C05_E01_145_Q01.png" width="80%"   The ratio of amplitudes `A_(r)` to `A_(t)` is (i.e. A_(r) : A_(t)`) will be