Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Sound is a form of energy produced by vibrating bodies. A vibration is defined as a rapid back-and-forth motion of an object about its mean position.
Sound requires a material medium (solid, liquid, or gas) for its propagation. It cannot travel through a vacuum because there are no molecules to transmit the vibrations.
Sound travels in the form of longitudinal waves, where the particles of the medium vibrate parallel to the direction of the wave's propagation.
The speed of sound depends on the nature of the medium: . For example, the speed of sound in air is approximately to , while in steel it is about .
Amplitude () is the maximum displacement of a vibrating particle from its mean position. It determines the loudness of the sound ().
Frequency () is the number of vibrations per second, measured in Hertz (). It determines the pitch or shrillness of the sound.
Time Period () is the time taken by a vibrating body to complete one full vibration.
The human audible range of frequencies is from to (or ). Sounds below are called infrasonic, and sounds above are called ultrasonic.
📐Formulae
💡Examples
Problem 1:
A simple pendulum completes oscillations in seconds. Find its time period and frequency.
Solution:
Given: Number of oscillations = , Total time . Frequency . Time Period .
Explanation:
Frequency is the oscillations per unit time, and the time period is the inverse of the frequency.
Problem 2:
A person standing away from a source of sound hears the sound after seconds. Calculate the speed of sound in air.
Solution:
Given: Distance , Time . Using the formula: .
Explanation:
The speed of sound is calculated by dividing the total distance traveled by the time taken.
Problem 3:
The frequency of a tuning fork is . If the speed of sound is , find the wavelength () of the sound produced.
Solution:
Given: , . Using the wave equation: .
Explanation:
Wavelength is the distance between two consecutive compressions or rarefactions, found by dividing speed by frequency.