Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Vibration is the back-and-forth motion of an object. The number of oscillations per second is called the frequency (), measured in .
Audible sounds are those that can be heard by the human ear. This range is typically between and ().
Inaudible sounds fall outside the range of .
Infrasonic sounds (Infrasound) have frequencies lower than . These are produced by objects like pendulums or animals like whales and elephants.
Ultrasonic sounds (Ultrasound) have frequencies higher than . Animals like dogs, bats, and dolphins can hear these frequencies.
The loudness of sound is determined by its amplitude (). Loudness is proportional to the square of the amplitude: .
The pitch or shrillness of a sound is determined by its frequency (). A higher frequency result in a higher pitch.
📐Formulae
💡Examples
Problem 1:
An object oscillates times in seconds. Calculate its frequency and determine if the sound produced is audible to humans.
Solution:
Frequency .
Explanation:
The calculated frequency is . Since the human audible range starts at , this sound is at the threshold of audibility and can be heard.
Problem 2:
If the amplitude of a sound vibration is doubled, by how much does the loudness increase?
Solution:
.
Explanation:
Since loudness is proportional to the square of the amplitude (), doubling the amplitude () results in the loudness increasing by a factor of .
Problem 3:
A bat emits a sound with a frequency of . Is this sound audible, infrasonic, or ultrasonic?
Solution:
.
Explanation:
Because the frequency is much higher than the upper limit of human hearing (), the sound is classified as ultrasonic (ultrasound).