Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Sound is a longitudinal wave that propagates through a medium as a series of compressions (high-pressure regions) and rarefactions (low-pressure regions).
Wavelength (): The distance between two consecutive compressions or two consecutive rarefactions. Its SI unit is meter ().
Frequency (): The number of complete oscillations per unit time. It represents how frequently the sound wave repeats. Its SI unit is Hertz ().
Time Period (): The time taken by two consecutive compressions or rarefactions to cross a fixed point. It is the reciprocal of frequency: .
Amplitude (): The magnitude of the maximum disturbance in the medium on either side of the mean value. It determines the loudness of the sound.
Pitch: A characteristic of sound determined by the frequency. A higher frequency corresponds to a higher pitch (shrill sound), while a lower frequency corresponds to a lower pitch (bass sound).
Loudness: A sensation that depends on the intensity of sound and the sensitivity of the ear. It is proportional to the square of the amplitude: .
Speed of Sound (): The distance which a point on a wave, such as a compression or a rarefaction, travels per unit time.
📐Formulae
💡Examples
Problem 1:
A sound wave has a frequency of and a wavelength of . How long will it take to travel ?
Solution:
Given: Frequency , Wavelength , Distance .
- Calculate Speed (): .
- Calculate Time (): .
Explanation:
First, the speed of the wave is determined using the relationship between wavelength and frequency. Then, the time taken is calculated by dividing the total distance by the speed of the wave.
Problem 2:
Calculate the wavelength of a sound wave whose frequency is and speed is in a given medium.
Solution:
Given: , . Using the formula: .
Explanation:
Wavelength is the ratio of the speed of the sound wave to its frequency.