To determine which medium corresponds to solid, liquid, and gas based on the given speeds, we need to consider the general behavior of sound wave speeds in different mediums:
- Sound travels fastest in solids, slower in liquids, and slowest in gases.
Given the observed speeds:
- Medium X: 972 m/s
- Medium Y: 1483 m/s
- Medium Z: 5,940 m/s
Now, comparing these speeds to the typical speeds for each medium:
- The speed of sound in air (gas) is approximately 343 m/s, so a value significantly lower than this indicates a gas.
- The speed of sound in water (liquid) is around 1482 m/s, which is consistent with the value for Medium Y.
- The speed of sound in solids can be well above 5000 m/s.
Looking at the values:
- Since Medium Z (5,940 m/s) is the highest, it is the solid.
- Medium Y (1483 m/s) is next and aligns with the speed of sound in liquids.
- Medium X (972 m/s) is the lowest and aligns with the behavior of a gas.
Therefore, the identification of the mediums is:
- Medium X is the gas,
- Medium Y is the liquid,
- Medium Z is the solid.
The correct answer is: A. X is the gas, Y is the liquid, and Z is the solid.