Question

How are the frequency and wavelength of light related?

A They are inversely proportional to each other
B Frenquency equals wavelength divided by the speed of light,
C Wavelength is determined by dividing frequency by the speed of light,
D They are directly proportional to each other

Answer 1

The frequency and wavelength of light related A. They are inversely proportional to each other. (Option A)

Step-by-step explanation:

The correct relationship between the frequency (f) and wavelength (λ) of light is described by the formula:
`\(c = f \cdot \lambda\),` where
`\(c\)` is the speed of light. From this equation, it is evident that frequency and wavelength are inversely proportional. As the frequency of light increases, its wavelength decreases, and vice versa. This relationship is a fundamental principle in wave physics.

In the electromagnetic spectrum, which includes light, different types of waves exhibit varying frequencies and wavelengths. For instance, high-frequency gamma rays have shorter wavelengths, while low-frequency radio waves have longer wavelengths. The inverse relationship between frequency and wavelength is essential for understanding the behavior of light and other electromagnetic waves.

In summary, option A, "They are inversely proportional to each other," accurately reflects the relationship between the frequency and wavelength of light, as established by the fundamental equation of wave physics. (Option A)