Question

wavelength and frequency relationship

Answer 1

The relationship between wavelength (λ) and frequency (ν) of a wave is defined by the equation:

\[
c = λν
\]

where:
- \(c\) is the speed of light in a vacuum (approximately \(3.00 \times 10^8\) meters per second),
- \(λ\) (lambda) is the wavelength (measured in meters),
- \(ν\) (nu) is the frequency (measured in hertz, or cycles per second).

From this equation, you can derive:
- **Wavelength (λ):**
\[
λ = \frac{c}{ν}
\]

- **Frequency (ν):**
\[
ν = \frac{c}{λ}
\]

This means that wavelength and frequency are inversely related; as the wavelength increases, the frequency decreases, and vice versa. This relationship is fundamental in understanding various waves, including electromagnetic waves (like light), sound waves, and others.