Question

Difficulty: MediumWaves, Sound, and Light

An observer at a construction site watches a worker strike a steel pipe with a hammer and hears the sound transmitted through the pipe before hearing it through the open air. Which of the following best explains why sound travels faster through solid steel than through air?

  1. A
    The frequency of the sound wave increases significantly when traveling through denser matter.
  2. The closely packed particles and high elasticity of solids allow vibrational energy to transfer more rapidly between molecules.Answer
  3. C
    Sound waves convert into electromagnetic transverse waves when moving through solid materials.
  4. D
    The amplitude of the wave increases automatically because solid matter absorbs less acoustic energy.

Answer

Sound travels faster through solid steel than through air because the closely packed particles and high elasticity of solids allow mechanical vibrational energy to transfer more rapidly between molecules.
Sound is a mechanical wave that propagates through the physical displacement and elastic restoration of medium particles. In solids like steel, atoms are tightly bonded in a crystal lattice with high elastic modulus, enabling compressions and rarefactions to transfer rapidly from particle to particle. In contrast, gas molecules in air are widely spaced and require longer travel times between collisions, resulting in a much lower propagation speed.

Step-by-Step Solution

1
Identify the nature of sound waves and the medium requirement
Sound is a mechanical wave that propagates via sequential collisions and oscillations of particles in a physical medium.
Understanding that mechanical waves rely on intermolecular interactions is necessary to evaluate the effect of the medium on wave speed.
2
Compare particle arrangement and elasticity between solids and gases
Molecules in steel are closely bound with high elastic modulus, whereas air molecules are widely separated with low elasticity.
Greater medium elasticity and density of packing directly increase the speed of acoustic transmission (v=E/ρv = \sqrt{E/\rho}).
3
Relate medium properties to wave speed differences
Sound travels at roughly 5960 m/s5{}960\text{ m/s} in steel compared to approximately 343 m/s343\text{ m/s} in air.
The rapid transfer of kinetic energy between adjacent atoms in the solid explains why the sound arrives first through the steel pipe.

Key Concept

Mechanical sound wave propagation speed depends on the elasticity and atomic density of the transmitting medium, traveling fastest in solids, slower in liquids, and slowest in gases.
Estimated Time:1m 0s
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