Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Sound is a form of energy produced by mechanical vibrations of an object. These vibrations are transmitted through a medium as longitudinal waves.
Sound requires a material medium (solid, liquid, or gas) for propagation and cannot travel through a vacuum ().
The speed of sound depends on the nature of the medium. Generally, . In air, the speed is approximately to .
Amplitude () is the maximum displacement of a vibrating particle from its mean position. It determines the loudness of sound; .
Frequency () is the number of vibrations per second, measured in Hertz (). It determines the pitch (shrilness) of the sound.
Time Period () is the time taken by a vibrating body to complete one full vibration, measured in seconds ().
The human audible range is between and . Sounds below are infrasonic, and above are ultrasonic.
📐Formulae
💡Examples
Problem 1:
A simple pendulum completes oscillations in seconds. Find its time period and frequency.
Solution:
,
Explanation:
Frequency is calculated as . Time period is the reciprocal of frequency: .
Problem 2:
Calculate the distance a sound wave travels in air in if the speed of sound is .
Solution:
Explanation:
Using the formula for distance , we substitute the given values: .
Problem 3:
If the amplitude of a sound is tripled, how will its loudness change?
Solution:
Explanation:
Loudness is directly proportional to the square of the amplitude (). If the new amplitude , then the new loudness . Therefore, the loudness becomes times its original value.