How Does Wave Propagation Behave at the Junction of Iron and Copper Strings?

[sadhu]

i have a question regarding wave propagation in a string

suppose two strings of ,one of iron and other of copper are tied to each other at one end . the free end s of both are connected to the wall .

now a wave triggered in iron string , what happens ?
it moves through the the length of iron string and reaches the boundary point .

there are 4 things to be considered
1)
tension is same through out the combined string
2)
the boundary point is common to both the strings so wave amplitude must remain same as the wave passes through the boundary . (i have a doubt at this point )

3) energy must be conserved

4) frequency must remain same

what happens??
and what happens when a wave is triggered in copper string?

 

[Doc Al]

Consider reflection at the boundary.

 

[Moetasim]

I can provide a response to this content by explaining the principles of wave propagation in a string and addressing the questions raised.

Firstly, when a wave is triggered in the iron string, it will travel through the length of the string and reach the boundary point where it is connected to the copper string. This is because both strings are physically connected, and the wave will propagate through the medium of the strings.

Secondly, the tension in both strings will remain the same throughout the combined string. This is because the strings are tied together at one end, and any change in tension in one string will affect the other string as well. Therefore, the wave that travels through the iron string will also have the same tension when it reaches the boundary point and enters the copper string.

Thirdly, when the wave reaches the boundary point, the amplitude of the wave must remain the same. This is because the boundary point is a common point where both strings are connected, and the wave will continue to propagate with the same amplitude in both strings. However, there may be some energy loss due to friction or other factors, but this should be minimal.

Fourthly, energy must be conserved throughout the wave propagation process. This means that the total energy of the wave in the iron string must be equal to the total energy of the wave in the copper string. This is because energy cannot be created or destroyed, only transferred from one form to another.

Lastly, the frequency of the wave will remain the same when it passes through the boundary point and enters the copper string. This is because the frequency of a wave is determined by the source that triggers it, and in this case, it is the same source that triggers the wave in both strings. However, the wavelength of the wave may change due to the difference in the properties of the two strings.

When a wave is triggered in the copper string, the same principles apply. The wave will travel through the length of the copper string, reach the boundary point, and continue to propagate through the iron string. The tension, amplitude, energy, and frequency will all remain the same as described above.

In conclusion, when two strings of different materials are tied together and a wave is triggered in one of them, the wave will propagate through both strings with the same properties. This is because the strings are physically connected, and the wave will continue to travel through the medium of the strings.