Question

Electromagnetic radiation with a wavelength of 725 nm appears as red light to the human eye. The frequency of this light is ________ s-1.

Answer 1

The frequency of red light with a wavelength of 725 nm is approximately 4.14 × 10¹⁴ s⁻¹, calculated using the relationship between the speed of light, wavelength, and frequency.

Step-by-step explanation:

The electromagnetic radiation with a wavelength of 725 nm appears as a red light to the human eye. To find the frequency (ν) of this light, we use the equation λν = c, where λ is the wavelength and c is the speed of light in a vacuum (approximately 3.0 × 10⁸ m/s).

First, we convert 725 nm to meters: 725 nm = 725 × 10⁻⁹ m. Then, using the speed of light (c), we calculate the frequency (ν):

ν = c / λ = (3.0 × 10⁸ m/s) / (725 × 10⁻⁹ m) = approximately 4.14 × 10¹⁴ s⁻¹.

Therefore, the frequency of this red light is roughly 4.14 × 10¹⁴ s⁻¹.