Wave Mechanics Question 661
Question: String 1 is connected with string 2. The mass per unit length in string 1 is $ {\mu _{1}} $ and the mass per unit length in string 2 is 4 $ {\mu _{1}} $ . The tension in the strings is T. A travelling wave is coming from the left. What fraction of the energy in the incident wave goes into string 2?
Options:
A) 1/8
B) 4/9
C) 2/3
D) 8/9
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ \frac{E _{r}}{E _{i}}={{( \frac{A _{r}}{A _{i}} )}^{2}}={{( \frac{V _{2}-V _{1}}{V _{1}+V _{2}} )}^{2}}=1/9 $
Therefore, $ \frac{E _{t}}{E _{i}}=8/9 $
BETA
