Two strings `A` and `B` are connected together end to end as shown in the figure. The ratio of mass per unit length `(mu_(B))/(mu_(A))=4`. The tension in the string is same. A travelling wave is coming from the string A towards string B. if the fraction of the power of the incident wave that goes in sting B is `(n)/(9)` the value of n is:

Answer

8

Explanation

`A_(T)=(2V_(B))/((V_(A)+V_(B)))A_(1)=(2sqrt((T)/(m_(B))))/(sqrt((T)/(mu_(A)))+sqrt((T)/(mu_(B))))A_(1)=(2)/(3)A_(1)`
power `P=(1)/(2)muvomega^(2)A^(2)=(1)/(2)sqrt(T_(epsilon)omega^(2)A^(2)`
`(P_(t))/(P_(i))=(At^(2))/(Ai^(2))sqrt((mu_(B))/(mu_(A)))=(8)/(9)`