Three ropes (X,Y and Z) made of different materials are attached in a linear fashion. Based on the following observations, classify ropes X,Y, and Z as fast, intermediate or slow media.

-a negative pulse transmitted into X is inverted upon reflection and is transmitted into Y as negative.
-a negative pulse in Y is inverted upon reflection and is transmitted into Z as negative.

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To determine the classification of ropes X, Y, and Z as fast, intermediate, or slow media, we need to understand how waves behave when they propagate through different materials.

In this case, we are given that a negative pulse transmitted into rope X is inverted upon reflection and transmitted into rope Y as negative. Similarly, a negative pulse in rope Y is inverted upon reflection and transmitted into rope Z as negative.

Based on these observations, we can infer the following properties of the ropes:

1. Inversion upon reflection: When a wave undergoes a phase inversion upon reflection, it indicates that the wave is traveling from a medium of higher density to a medium of lower density. This behavior is commonly observed when waves travel from denser media to less dense media.

2. No change in sign upon transmission: The fact that the negative pulse remains negative after transmission indicates that the wave does not undergo an additional phase inversion upon entering the next medium.

Analyzing these properties, we can conclude the following:

a. Rope X: Since a negative pulse transmitted into rope X is inverted upon reflection and transmitted into rope Y as negative, we can classify rope X as a SLOW medium. The inversion upon reflection suggests that rope X is denser compared to rope Y.

b. Rope Y: The fact that a negative pulse in rope Y is inverted upon reflection and transmitted into rope Z as negative implies that rope Y is less dense compared to rope Z. Hence, we can classify rope Y as an INTERMEDIATE medium.

c. Rope Z: Similar to rope Y, a negative pulse transmitted into rope Z is not inverted upon reflection, indicating that rope Z is less dense compared to the previous medium (rope Y). Consequently, we can classify rope Z as a FAST medium.

To summarize:
- Rope X is a SLOW medium.
- Rope Y is an INTERMEDIATE medium.
- Rope Z is a FAST medium.