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Sound: Fundamental Principles
1. Nature of Sound Waves
- Definition: Sound is a mechanical wave that requires a material medium to travel.
- Wave Types:
- In gases, liquids, and plasma: Longitudinal waves.
- In solids: Can be both longitudinal and transverse waves.
- Cannot Travel in a Vacuum: It requires particles to vibrate. (e.g., sound cannot travel on the moon).
2. Characteristics of Sound
- Pitch: Determines how high or low a sound is.
- Depends solely on frequency.
- Higher frequency = Higher pitch.
- Fact Check: A shorter flute (shorter air column) produces a higher frequency, not a lower one.
- Loudness (Intensity): Determines the volume of a sound.
- Depends on the amplitude of the sound wave.
- Unit of Measurement: Decibel (dB).
- Quality (Timbre): The characteristic that allows us to distinguish between the same note played on different instruments (e.g., a sitar vs. a flute), even when the pitch and loudness are the same.
3. Behavior of Sound Waves
- When Changing Medium:
- Frequency remains constant.
- Speed and wavelength change.
- Reflection:
- Echo: A reflected sound heard separately from the original.
- To hear a clear echo, the minimum distance to the reflecting surface is ~17 meters (allowing a time gap of ~1/10th of a second).
- Reverberation: The effect of multiple, fast sound reflections in an enclosed space (e.g., a church).
- Application: Concert hall walls are designed to absorb sound to prevent echoes and reverberation for clarity.
- Echo: A reflected sound heard separately from the original.
- Loudness decreases as the sound travels away from the source due to energy spreading out.
Speed of Sound
1. Dependence on the Medium
- General Rule: Solid > Liquid > Gas.
- Reason: Depends on the elasticity and density of the medium.
- Examples:
- Gas (Slowest): Nitrogen / Air ≈ 343 m/s at 20°C.
- Liquid (Faster): Seawater ≈ 1531 m/s.
- Solid (Fastest): Iron ≈ 5950 m/s.
- Order of Speed: Nitrogen (Gas) < Water (Liquid) < Steel (Solid). Air < Water < Steel.
- Comparison: Speed is greater in aluminum than in glass. Faster through a steel rail than through air.
2. Dependence on Temperature
- The speed of sound increases with an increase in temperature.
- At higher altitudes (e.g., 15 km) where the temperature is lower, the speed decreases.
3. Measurement: Mach Number
- The Mach Number is the ratio of an object’s speed to the speed of sound in the surrounding medium.
- Mach 1 means the object is traveling at the speed of sound (supersonic).
Classification by Frequency
1. Audible Sound
- Range: 20 Hz to 20,000 Hz (the typical range of human hearing).
2. Ultrasonic Sound
- Definition: Sound with a frequency greater than 20,000 Hz. Humans cannot hear it.
- Applications:
- Medical: Sonography/Ultrasonography (imaging internal body structures, monitoring pregnancy).
- Cleaning: Ultrasonic cleaners (for clothes, objects).
- Detection & Ranging: SONAR (detecting submarines, measuring sea depth), detecting aircraft, controlling automatic doors.
- Other: Destroying insects.
- Biological Use: Bats use ultrasonic waves for echolocation (navigation and hunting).
3. Infrasonic Sound
- Biological Example: The vibration of the heart produces sound in the infrasonic range.
Sound Measurement and Impact
1. Sound Levels (Decibels – dB)
- Comfortable Level: ~60 dB (Optimum for humans).
- Tolerable Limit: ~85 dB.
- Hazardous Pollution: Sound above 80 dB is considered hazardous noise pollution.
- WHO Safe City Level: 45 dB.
- Common Examples:
- Rustling leaves: ~20 dB
- Normal conversation: ~30-60 dB
- Machine shop: ~100 dB
2. Environmental Impact
- Supersonic jets release nitrogen oxides at high altitudes, contributing to the depletion of the ozone layer.
Applications and Specific Contexts
1. Music
- Musical Scale: The diatonic scale consists of 8 notes (an octave).
- Frequency Ratio: The ratio between the first and last note (the octave) is 2:1.
- Example: If ‘Sa’ (C) = 256 Hz, the next ‘Sa’ (C1) = 512 Hz. The note ‘Ni’ (B) just before it is 480 Hz.
2. Medical Technology
- Stethoscope: Works through the multiple reflections of sound waves inside its tube.
3. Television Broadcast Technology
- Analog TV:
- Picture (Video): Transmitted using Amplitude Modulation (AM).
- Audio (Sound): Transmitted using Frequency Modulation (FM).
- Modern TVs: Audio and video start simultaneously.
4. Linguistics
- Phonemes: The basic, smallest units of sound in a language. They have no meaning themselves, but changing one can change the meaning of a word.
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