7.1 Speed of Wave Motion; Velocity of Sound in Solid & Liquid
7.2 Velocity of Sound in Gas
7.3 Laplaceโs Correction
- Observation: Experimental velocity of sound in air is slightly higher than P/ฯ\sqrt{P/\rho}P/ฯโ predicted by simple theory.
- Reason: Air is not isothermal, but adiabatic โ correction factor ฮณ.
- Formula:
ฮณ = 1/4 for air
7.4 Effect of Temperature, Pressure & Humidity
- Temperature: v โ โTโย โ higher temperature, faster sound.
- Pressure: For ideal gas at constant T, v independent of P.
- Humidity: More water vapor โ lower density โ higher speed of sound.
Example: Air at 20ยฐC โ v โ 343 m/s; at 30ยฐC โ v โ 349 m/s
Important Questions and Answers in Short
Q1. What is Laplaceโs correction?
๐ Corrects sound velocity in gas from isothermal to adiabatic conditions.
Q2. Effect of temperature on sound velocity?
๐ v โ โT โ higher temperature โ faster sound.
Q3. Effect of pressure on sound velocity?
๐ v independent of P for ideal gas at constant T.
Q4. Effect of humidity on sound velocity?
๐ More humidity โ faster sound.
โ Formula Sheet (Quick Revision)
Numerical Examples
Example 1: Velocity of Sound in Solid
Example 2: Effect of temperature on velocity of sound
Example 3: Velocity of sound in Gas (air)
