Question

Two strings with linear mass densities `mu_(1)=0.1kg//m` and `mu_(2)=0.3kg//m` are joined seamlesly. They are under tension of `20N`. A travelling wave of triangular shape is moving from lighter to heavier string.
A. The reflection coefficient at interface is zero
B. The reflection coefficient at interface is `2-sqrt(3)`
C. The transmission coefficient at interface is 1
D. The transmission coefficient at inerface is `sqrt(3)-1`

Answer 1

Correct Answer - B::D
`V_(1)=sqrt(T/(mu_(1)))=10sqrt(2)`
`V_(2)=sqrt(T/(mu_(2)))=(10sqrt(2))/(sqrt(3))`
Reflection coeffcient
`R=(V_(2)-V_(1))/(V_(1)+V_(2))=2-sqrt(3)`
Transmission coefficient
`T=(2V_(2))/(V_(1)+V_(2))=sqrt(3)-1`