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Infrasonic and Ultrasonic Sounds

Learning objective
Differentiate between infrasonic, audible, and ultrasonic sounds and their applications.

Introduction to Sound Waves and Human Hearing Range

Sound is a type of mechanical wave that travels through a medium such as air, water, or solids by causing particles to vibrate. These vibrations move in the form of waves, carrying energy from one place to another. Two important properties of sound waves are frequency and wavelength.

Frequency (measured in hertz, Hz) is the number of vibrations or cycles a wave completes in one second. For example, a frequency of 100 Hz means the wave vibrates 100 times per second.

Wavelength (measured in meters, m) is the distance between two consecutive points in phase on the wave, such as from one crest to the next.

Humans can hear sounds within a specific range of frequencies, known as the audible range. This range typically lies between 20 Hz and 20,000 Hz (20 kHz). Sounds with frequencies below 20 Hz or above 20 kHz are inaudible to the human ear and are classified as infrasonic and ultrasonic sounds, respectively.

Visualizing Frequency Ranges of Sound

Infrasonic < 20 Hz Audible 20 Hz - 20 kHz Ultrasonic > 20 kHz 20 Hz 20,000 Hz

Infrasonic Sound

Infrasonic sounds are sound waves with frequencies below 20 Hz, which means they vibrate fewer than 20 times per second. Because these frequencies are too low, humans cannot hear them. However, many natural and artificial sources produce infrasonic waves.

Examples of infrasonic sources include:

  • Earthquakes: The ground vibrations during an earthquake generate infrasonic waves that can travel long distances.
  • Volcanic eruptions: These produce low-frequency sounds that can be detected using special instruments.
  • Thunder: The deep rumbling sound after lightning is often infrasonic.

Scientists use infrasonic waves to monitor natural events like earthquakes and volcanic activity because these waves travel far and provide early warning signals.

Frequency Range of Infrasonic Sounds

Infrasonic < 20 Hz Earthquake Volcano

Audible Sound

Audible sounds are sound waves with frequencies between 20 Hz and 20,000 Hz (20 kHz). These are the sounds that humans can hear, from the low rumble of thunder to the high pitch of a whistle.

The exact range of audible frequencies varies from person to person. Factors that affect hearing range include:

  • Age: Younger people generally hear higher frequencies better than older individuals.
  • Environment: Exposure to loud noises can damage hearing and reduce the audible range.
  • Health: Certain illnesses or ear infections can affect hearing.

Audible sounds are measured in hertz (Hz), and the human ear is most sensitive to frequencies between 2,000 Hz and 5,000 Hz, which is important for understanding speech.

Human Hearing Frequency Range

Below 20 Hz (Inaudible) 20 Hz - 20 kHz (Audible Range) Above 20 kHz (Inaudible) 20 Hz 20,000 Hz

Ultrasonic Sound

Ultrasonic sounds are sound waves with frequencies above 20,000 Hz (20 kHz), which are too high for humans to hear. These high-frequency waves have unique properties that make them useful in many fields.

Common applications of ultrasonic waves include:

  • Medical Imaging (Ultrasonography): Ultrasonic waves are used to create images of internal body organs, such as in prenatal scans.
  • Cleaning: Ultrasonic cleaners use high-frequency waves to remove dirt from delicate objects like jewelry and electronic components.
  • Sonar: Used by submarines and ships to detect underwater objects by sending ultrasonic pulses and measuring echoes.

Ultrasonic waves travel in short wavelengths, allowing them to detect small objects and provide detailed images.

Ultrasonic Frequency Range and Applications

Ultrasonic > 20 kHz Medical Imaging Cleaning Sonar

Comparison of Sound Types

Sound Type Frequency Range Human Audibility Common Sources Applications
Infrasonic Below 20 Hz Not audible Earthquakes, Volcanoes, Thunder Earthquake detection, monitoring natural events
Audible 20 Hz to 20 kHz Audible Human speech, Music, Everyday sounds Communication, entertainment, alarms
Ultrasonic Above 20 kHz Not audible Ultrasound devices, Sonar equipment Medical imaging, cleaning, navigation (sonar)

Formula Bank

Wave Frequency Formula
\[ f = \frac{v}{\lambda} \]
where: \( f \) = frequency (Hz), \( v \) = speed of sound (m/s), \( \lambda \) = wavelength (m)
Speed of Sound in Air
\[ v \approx 331 + 0.6T \]
where: \( v \) = speed of sound (m/s), \( T \) = temperature (°C)

Worked Examples

Example 1: Calculating Frequency of an Ultrasonic Wave Easy
A ultrasonic wave travels through air at 346 m/s and has a wavelength of 2 mm. Calculate its frequency.

Step 1: Convert the wavelength to meters: \( 2 \text{ mm} = 2 \times 10^{-3} \text{ m} \).

Step 2: Use the frequency formula \( f = \frac{v}{\lambda} \).

Step 3: Substitute values: \( f = \frac{346}{2 \times 10^{-3}} = 173,000 \text{ Hz} \).

Answer: The frequency is 173 kHz, which is ultrasonic.

Example 2: Identifying Sound Type from Frequency Easy
A sound has a frequency of 15 Hz. Is it infrasonic, audible, or ultrasonic? Suggest possible sources.

Step 1: Compare the frequency with human hearing range.

Step 2: Since 15 Hz < 20 Hz, it is infrasonic.

Step 3: Possible sources include earthquakes or volcanic activity.

Answer: The sound is infrasonic, likely from natural low-frequency events.

Example 3: Application-Based Question on Ultrasonics Medium
Explain how ultrasonic waves are used in medical imaging. Calculate the wavelength of a 5 MHz ultrasonic wave traveling in human tissue where the speed of sound is 1540 m/s.

Step 1: Medical ultrasonography uses high-frequency sound waves to create images of internal organs. The waves reflect off tissues and organs, and the echoes are used to form images.

Step 2: Calculate wavelength using \( \lambda = \frac{v}{f} \).

Step 3: Convert frequency to Hz: \( 5 \text{ MHz} = 5 \times 10^{6} \text{ Hz} \).

Step 4: Substitute values: \( \lambda = \frac{1540}{5 \times 10^{6}} = 3.08 \times 10^{-4} \text{ m} = 0.308 \text{ mm} \).

Answer: The wavelength is approximately 0.308 mm, allowing detailed imaging of small structures.

Example 4: Range of Human Hearing Medium
Calculate the range of audible frequencies for a healthy young person. Discuss how this range might reduce for an elderly individual.

Step 1: The audible range is from 20 Hz to 20,000 Hz.

Step 2: Calculate the range: \( 20,000 - 20 = 19,980 \text{ Hz} \).

Step 3: For elderly individuals, the upper limit may reduce to around 12,000 Hz due to age-related hearing loss.

Step 4: New range: \( 12,000 - 20 = 11,980 \text{ Hz} \), significantly narrower.

Answer: Young people hear across nearly 20,000 Hz, while elderly may hear only up to about 12,000 Hz, affecting perception of high-pitched sounds.

Example 5: Infrasonic Waves in Nature Medium
Explain how infrasonic waves help in earthquake detection. Calculate the wavelength of an infrasonic wave traveling at 340 m/s with frequency 10 Hz.

Step 1: Infrasonic waves generated by earthquakes travel long distances and can be detected by sensors to provide early warnings.

Step 2: Use \( \lambda = \frac{v}{f} \) to calculate wavelength.

Step 3: Substitute values: \( \lambda = \frac{340}{10} = 34 \text{ m} \).

Answer: The wavelength is 34 meters, showing infrasonic waves have very long wavelengths suitable for traveling through Earth's crust.

Quick Summary: Sound Types and Applications

Sound TypeFrequency RangeAudibilityKey Applications
Infrasonic< 20 Hz NoEarthquake detection, volcanic monitoring
Audible20 Hz - 20 kHz YesCommunication, music, alarms
Ultrasonic> 20 kHz NoMedical imaging, cleaning, sonar

Tips & Tricks

Tip: Remember the frequency ranges by associating 'infra' with 'below' 20 Hz and 'ultra' with 'above' 20 kHz.

When to use: When classifying sound types quickly during exams.

Tip: Use the formula \( f = \frac{v}{\lambda} \) to find frequency or wavelength; rearranging is key to solving various problems.

When to use: In numerical problems involving wave properties.

Tip: Recall that human hearing range is roughly 20 Hz to 20 kHz; frequencies outside this range are either infrasonic or ultrasonic.

When to use: To eliminate incorrect options in multiple-choice questions.

Tip: Link applications to frequency ranges to remember uses easily, e.g., ultrasound in medical imaging (>20 kHz).

When to use: While answering application-based descriptive questions.

Tip: Practice unit conversions carefully; always use metric units (Hz, m/s) to avoid confusion.

When to use: During calculations and numerical problems.

Common Mistakes to Avoid

❌ Confusing infrasonic and ultrasonic frequency ranges.
✓ Remember infrasonic is below 20 Hz, ultrasonic is above 20 kHz.
Why: Similar prefixes can mislead students; clear frequency boundaries help avoid this.
❌ Using incorrect units or mixing units in calculations.
✓ Always convert all quantities to metric units before calculation.
Why: Mixing units leads to incorrect answers and loss of marks.
❌ Assuming all sounds above audible range are ultrasonic without checking exact frequency.
✓ Check frequency precisely; audible range ends at 20 kHz.
Why: Some sounds may be near the threshold and need careful classification.
❌ Forgetting to consider temperature effect on speed of sound in calculations.
✓ Use speed of sound formula with temperature when precision is required.
Why: Speed of sound varies with temperature, affecting frequency/wavelength calculations.
❌ Mixing up applications of infrasonic and ultrasonic waves.
✓ Associate infrasonic with natural phenomena (earthquakes), ultrasonic with technology (imaging, cleaning).
Why: Confusion arises due to unfamiliarity with practical uses.
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