1. Waves in a medium (like sound waves or waves on a string):
* Velocity is constant: The velocity of a wave in a given medium is determined by the properties of the medium itself (e.g., the tension and density of a string, or the temperature and composition of air).
* Wavelength and frequency are inversely proportional: As wavelength increases, the frequency decreases, and vice versa. This is because the product of wavelength (λ) and frequency (f) is equal to the velocity (v):
* v = λf
2. Electromagnetic waves (like light):
* Velocity is constant in a vacuum: The speed of light in a vacuum (c) is a fundamental constant, approximately 299,792,458 meters per second.
* Wavelength and frequency are inversely proportional: Similar to waves in a medium, as wavelength increases, frequency decreases, and vice versa. This is because the speed of light is constant, so:
* c = λf
In summary:
* For waves in a medium, velocity is constant, and wavelength and frequency are inversely proportional.
* For electromagnetic waves in a vacuum, velocity is constant, and wavelength and frequency are inversely proportional.
Important Note: The relationship between velocity and wavelength can change if the wave travels through different mediums. For example, light slows down when it travels through water or glass, which affects its wavelength.
