Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Waves are oscillations that transfer energy and information without the transfer of matter. They can be categorized as transverse or longitudinal.
Transverse waves: The oscillations are perpendicular to the direction of energy transfer (e.g., light waves, water waves).
Longitudinal waves: The oscillations are parallel to the direction of energy transfer, consisting of compressions and rarefactions (e.g., sound waves).
Wave properties: Amplitude () is the maximum displacement from the equilibrium; Wavelength () is the distance between two consecutive peaks; Frequency () is the number of waves passing a point per second measured in Hertz ().
Reflection: The law of reflection states that the angle of incidence () is equal to the angle of reflection (), measured from the normal.
Refraction: When a wave enters a medium of different optical density, its speed changes, causing it to bend. Light bends towards the normal when entering a denser medium ().
Total Internal Reflection (TIR): Occurs when light travels from a more dense medium to a less dense medium and the angle of incidence is greater than the critical angle ().
Sound properties: Sound requires a medium to travel (cannot travel in a vacuum). The pitch is determined by frequency (), and loudness is determined by amplitude ().
The speed of light in a vacuum is approximately , while the speed of sound in air is approximately .
📐Formulae
💡Examples
Problem 1:
A water wave has a wavelength of and a frequency of . Calculate the speed of the wave.
Solution:
Explanation:
The wave speed is calculated by multiplying the frequency by the wavelength using the standard wave equation.
Problem 2:
Calculate the critical angle for a glass block with a refractive index of .
Solution:
Explanation:
To find the critical angle, we use the relationship between the refractive index and the sine of the critical angle, then take the inverse sine.
Problem 3:
An echo is heard after a sound is made near a large wall. If the speed of sound is , how far away is the wall?
Solution:
Explanation:
For echo problems, the sound travels to the wall and back, covering a total distance of . We divide by to find the distance to the wall.