The speed of sound wave is maximum in:
2019
The speed of sound wave is maximum in:
- A.
Vacuum
- B.
Water
- C.
Air
- D.
Steel
Attempted by 8 students.
Show answer & explanation
Correct answer: D
The speed of a sound (mechanical) wave in a medium is governed by v = √(E/ρ), where E is the medium's elastic modulus (its resistance to deformation) and ρ is its density. A stiffer medium transmits vibrations from particle to particle faster, so wave speed is generally highest in solids, lower in liquids, and lowest in gases, while it is undefined in a vacuum, which has no particles at all.
Among the four options, steel is the only solid: its particles are rigidly bonded, giving it a very high elastic modulus that outweighs its higher density. Water is a liquid with weaker restoring forces between molecules than a solid has. Air is a gas whose widely spaced, weakly interacting molecules give it the smallest elastic modulus of the three media that actually carry sound. A vacuum has no medium at all, so no sound wave can propagate through it.
Medium | State of matter | Typical sound speed |
|---|---|---|
Vacuum | No particles | No propagation |
Water | Liquid | ~1450-1500 m/s |
Air | Gas | ~340 m/s |
Steel | Solid | ~5000-6000 m/s |
These typical measured values confirm the E/ρ reasoning above: rigidity dominates over density, so a rigid solid carries sound far faster than a liquid or gas, and a vacuum carries none at all. The speed of sound is therefore maximum in steel.