Quick Summary
Acoustics is the study of sound. For exams, focus on wave terms, propagation of sound, echo, reflection of sound, applications, and basic numerical problems.
Key Definitions
- Sound: Energy produced by vibrating bodies.
- Frequency: Number of vibrations per second.
- Amplitude: Maximum displacement of a vibrating particle from its mean position.
- Wavelength: Distance between two consecutive compressions or rarefactions.
- Echo: Reflected sound heard after a short interval.
Formulae
| Concept | Formula |
|---|---|
| Wave velocity | v = nλ |
| Frequency | n = v/λ |
| Wavelength | λ = v/n |
Properties of Sound
- Sound needs a medium to travel.
- Sound travels faster in solids than in liquids and gases.
- Loudness depends on amplitude.
- Pitch depends on frequency.
- Sound can be reflected, absorbed, and transmitted.
Echo
An echo is heard when reflected sound reaches the ear after a minimum time gap. Large halls, hills, and empty buildings can produce echoes.
Echo — the key condition
To hear a distinct echo the reflected sound must reach the ear at least 0.1 s after the original (the persistence of hearing). Since sound travels ~344 m/s in air:
(The sound covers the distance twice — to the wall and back — hence ÷2.)
Applications — SONAR & echolocation
SONAR sends ultrasonic pulses into water; the echo time gives the depth: depth = (v × t)/2. Bats and dolphins use the same echolocation principle.
Worked Examples
Example 1 — Wave relation
A sound wave has frequency 500 Hz and wavelength 0.66 m. Find its velocity.
Example 2 — Find wavelength
Velocity of sound is 340 m/s, frequency 170 Hz. Find wavelength.
Example 3 — Echo distance
A person hears an echo 0.8 s after shouting. Speed of sound = 340 m/s. Find the distance to the wall.
Example 4 — SONAR depth
An ultrasonic pulse returns from the seabed in 4 s. Speed in water = 1500 m/s. Find the depth.
Textbook Solution Strategy
1. Identify whether the question is about wave terms, echo, or applications. 2. For numerical questions, write v, n, and λ. 3. Use v = nλ. 4. Keep units consistent. 5. For application questions, connect the property of sound to the use.
Important Questions
One Mark
- Define frequency.
- What is an echo?
- Write the unit of frequency.
Two Marks
- Differentiate between loudness and pitch.
- Why does sound not travel in vacuum?
- State two applications of reflection of sound.
Five Marks
- Explain the propagation of sound through a medium.
- Describe echo and its applications.
- Solve numerical problems using
v = nλ.
Common Mistakes
- Confusing amplitude with frequency.
- Writing that sound travels in vacuum.
- Forgetting the unit hertz for frequency.
- Using wavelength formula without converting units.
Revision Checklist
- Wave terms memorised
v = nλformula practised- Echo definition revised
- Loudness vs pitch differences prepared
- Applications of sound reflection revised
