A transverse wave is described by $y=A\sin (kx-\omega t)$. If the wave travels from a medium with linear mass density ${\mu }_1$ to a medium with linear mass density ${\mu }_2$, what is the ratio of the amplitude of the reflected wave to the incident wave?

1. A.$(\sqrt{{\mu }_1}-\sqrt{{\mu }_2})/(\sqrt{{\mu }_1}+\sqrt{{\mu }_2})$
2. B.$(\sqrt{{\mu }_2}-\sqrt{{\mu }_1})/(\sqrt{{\mu }_1}+\sqrt{{\mu }_2})$
3. C.$({\mu }_1-{\mu }_2)/({\mu }_1+{\mu }_2)$
4. D.$2\sqrt{{\mu }_1}/(\sqrt{{\mu }_1}+\sqrt{{\mu }_2})$