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:

1/8

4/9

2/3

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 $



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