please help me i don't know the answer.
What is the mathematical relationship between frequency and wavelength for an EM wave?
frequency is 1/s
wavelength = m
speed of light c is m/s
so, wavelength = m/s * s = c*frequency
as with any wave,
wavelength = speed * frequency
To understand the mathematical relationship between frequency and wavelength for an electromagnetic (EM) wave, you can refer to the wave equation:
c = λν
Where:
- c represents the speed of light in a vacuum, which is approximately 3.00 x 10^8 meters per second (m/s).
- λ (lambda) represents the wavelength, which is the distance between two consecutive points on a wave.
- ν (nu) represents the frequency, which is the number of complete cycles of the wave that pass by a given point in one second.
According to the wave equation, the speed of light is equal to the product of wavelength and frequency.
To find the relationship between frequency and wavelength, we can rearrange the equation:
λ = c/ν
This equation shows that wavelength (λ) is inversely proportional to frequency (ν). In other words, as frequency increases, the wavelength decreases, and vice versa.