JAMB Physics · Section A
Study notes for Characteristics of Sound Waves — part of the JAMB UTME Physics syllabus. 9 learning objectives with explanations and exam tips.
Sound waves reflect off hard surfaces like walls and buildings. When sound bounces back to your ears distinctly after a noticeable delay, you hear an echo. For example, if you shout "Hello!" inside a large empty warehouse in Lagos, you hear your voice return as a separate sound after a short delay. That's echo. Reverberation is different—it's when reflected sound arrives so quickly that it blends with the original sound, creating a lingering effect. Think of singing in a bathroom: the sound seems fuller and longer because reflections overlap.
The key difference is timing. Echo needs at least 0.1 seconds delay for your brain to distinguish it as separate. Reverberation happens too fast for this separation. Both require hard, non-absorbent surfaces. Understanding these helps explain why concert halls need acoustic design.
Sound travels as a wave through materials like air, water, and solids. The main characteristics you need to know are frequency (how many vibrations per second), wavelength (distance between wave peaks), and amplitude (how loud the sound is). Speed of sound depends on the medium it travels through—it moves fastest in solids, slower in liquids, and slowest in gases. In air at room temperature, sound travels at about 340 metres per second. Think of how you hear the church bell in your compound; the sound travels through air to reach your ears. Frequency and wavelength are inversely related through the equation: speed equals frequency times wavelength. A deeper voice has lower frequency and longer wavelength than a higher voice. Understanding these relationships helps explain why sound behaves differently in different environments.
Sound waves can be classified as either musical sounds or noise based on their characteristics. Musical sounds have regular, repeating vibrations called periodic oscillations. These sounds are pleasant to the ear and have clear frequencies that you can identify. When a talking drum (dundun) in a traditional Nigerian ceremony produces steady beats, that's musical sound because the vibrations follow a predictable pattern.
Noise, however, consists of irregular and random vibrations with no clear pattern. Noise is unpleasant and lacks a definite pitch. Think of the chaotic sound of traffic honking on Lagos Island during rush hour—that's noise because the vibrations are unpredictable and jumbled together.
The key difference lies in periodicity: musical sounds are periodic while noise is aperiodic. A guitar string vibrates regularly to produce music, but a car horn produces irregular vibrations.
Sound waves have four main characteristics you must understand. Pitch refers to how high or low a sound is, determined by frequency. A drum produces low pitch sounds while a whistle produces high pitch. Intensity is about loudness, measured in decibels, depending on the energy carried by the wave. Quality, also called timbre, is what makes different instruments sound different even when playing the same note. When a trumpet and flute play the same pitch, quality lets you distinguish between them. In Nigeria, if you listen to a talking drum and a talking drum master's voice simultaneously, you hear different pitches but can identify both because of their unique qualities. Amplitude determines how loud a sound is by measuring how far particles vibrate from rest position.
Loudness is how strong or weak a sound appears to our ears. It depends on the amplitude of the sound wave—the bigger the vibration, the louder the sound. When a speaker at a concert increases volume, the sound waves vibrate with greater amplitude, making the music louder. Conversely, whispering produces small vibrations and quiet sounds.
The intensity of sound, measured in decibels (dB), determines loudness. A quiet library might be 30dB while a busy Lagos market can reach 80dB or higher. Your ear perceives these differences as loudness changes. It's important to note that loudness is subjective—what seems loud to you might be normal to someone else, but the physical amplitude remains constant.
Sound waves have several important characteristics: frequency (how many vibrations per second), wavelength (distance between wave peaks), amplitude (loudness), and speed (how fast sound travels). When we understand these properties, we can apply them in practical ways that affect daily life.
Consider how Lagos traffic police use whistles to direct vehicles. The high-pitched whistle has a high frequency that cuts through engine noise because high-frequency sounds travel better in crowded environments and catch attention quickly. Similarly, foghorns on ships use low frequencies because low-frequency sound waves travel much farther through water and fog than high frequencies.
In hospitals, ultrasound machines use very high-frequency sound waves (above human hearing) to create images inside the body without using harmful radiation. This application relies on understanding how sound frequency and wavelength affect penetration depth.
When a string vibrates, it doesn't just produce one simple sound. The entire string vibrates as the fundamental frequency, but parts of the string also vibrate simultaneously, creating additional frequencies called overtones or harmonics. These overtones are higher pitched and quieter than the main sound.
Think of a guitar string being plucked. While the whole string vibrates to produce the basic note, half the string, one-third, and one-quarter sections vibrate independently too. This is why a guitar sounds richer and fuller than a simple tone generator.
The first overtone vibrates at twice the fundamental frequency, the second at three times, and so on. You can actually see these vibration patterns if you watch a string carefully or sprinkle powder on it—the powder bounces off at nodes where the string stays still.
The quality and richness of an instrument's sound depends on how many overtones it produces. This is why different instruments sound different even playing the same note.
Sound travels through the air as longitudinal waves, creating areas of high and low pressure. When sound enters an air column—like inside a pipe or tube—something interesting happens: the sound bounces back and forth between the ends, creating standing waves. These patterns depend on whether the pipe is open at both ends or closed at one end.
Think of the horns (talking drums) used during celebrations in Lagos. The drummer changes the pitch by adjusting how tightly they squeeze the rope, which alters the air column inside. Open pipes produce different frequencies than closed pipes of the same length because the sound waves reflect differently. The fundamental frequency and harmonics that form depend entirely on the pipe's length and whether air can escape from both ends or just one.
Sound waves have different frequencies that determine the pitch of notes we hear. Frequency is simply how many wave vibrations occur per second, measured in Hertz (Hz). When a guitar string vibrates faster, it produces a higher-pitched note with greater frequency. Conversely, slower vibrations create lower-pitched notes with smaller frequencies.
Think of a talking drum in Nigerian traditional music: when the drummer tightens the drum head, the vibrations speed up, producing higher frequencies and sharper sounds. When loosened, vibrations slow down, creating lower frequencies and deeper tones. Musicians use this principle to tune instruments by adjusting tension until the correct frequency is achieved.
To find frequency, you can use the relationship: frequency equals velocity divided by wavelength (f = v/λ). The human ear typically detects frequencies between 20 Hz and 20,000 Hz. Understanding these frequency ranges helps explain why some sounds are pleasant while others hurt our ears.