krit.club logo

Light and Sound - Pitch and Volume

Grade 3IB

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

Sound is produced by vibrations, which are rapid back-and-forth movements of particles.

Pitch is the quality that allows us to classify a sound as 'high' or 'low'. It depends on the frequency (ff) of the vibration.

Frequency (ff) is the number of vibrations per second. High frequency (ff \uparrow) creates a high pitch, while low frequency (ff \downarrow) creates a low pitch.

Pitch is measured in units called Hertz (HzHz).

Volume (Loudness) is how loud or soft a sound is. It is determined by the amplitude (AA) of the vibration.

Amplitude (AA) is the size or strength of the vibration. Larger vibrations (AA \uparrow) result in louder sounds, measured in decibels (dBdB).

Short or thin objects usually vibrate faster, creating a higher pitch, while long or thick objects vibrate slower, creating a lower pitch.

📐Formulae

f=Total vibrationsTime in secondsf = \frac{\text{Total vibrations}}{\text{Time in seconds}}

Pitchf\text{Pitch} \propto f

VolumeAmplitude (A)\text{Volume} \propto \text{Amplitude (A)}

Frequency (Hz)=1T where T is the time period\text{Frequency (Hz)} = \frac{1}{T} \text{ where } T \text{ is the time period}

💡Examples

Problem 1:

A guitar string vibrates 440440 times in one second. If another string vibrates 220220 times in one second, which string has the higher pitch?

Solution:

The string vibrating 440440 times per second has the higher pitch.

Explanation:

Since pitch is directly proportional to frequency (ff), the string with the higher frequency (440Hz>220Hz440 Hz > 220 Hz) produces a higher sound.

Problem 2:

If you strike a drum with a lot of force, the skin moves a distance of 5mm5 mm. If you strike it lightly, it moves 1mm1 mm. How does the volume change?

Solution:

The volume is much louder when the drum is struck with more force.

Explanation:

Striking the drum harder increases the amplitude (AA) of the vibration from 1mm1 mm to 5mm5 mm. Because VolumeA\text{Volume} \propto A, a larger amplitude creates a louder sound.

Problem 3:

Two tuning forks are used. Fork A has a frequency of 512Hz512 Hz and Fork B has a frequency of 256Hz256 Hz. Which one sounds deeper (lower)?

Solution:

Fork B sounds deeper.

Explanation:

A lower frequency (256Hz256 Hz) results in a lower pitch. In music, a lower pitch is often described as a 'deeper' sound.

Pitch and Volume - Revision Notes & Key Formulas | IB Grade 3 Science