Understanding the Relationship

The relationship between the wavelength (λ), frequency (ν), and the speed of light (c) is given by:

* c = λν

Where:

* c is the speed of light in a vacuum (approximately 3 x 10⁸ m/s)

* λ is the wavelength (in meters)

* ν is the frequency (in Hertz, Hz, or cycles per second)

Calculation

1. Rearrange the equation to solve for wavelength:

λ = c / ν

2. Plug in the values:

λ = (3 x 10⁸ m/s) / (6.67 x 10¹⁴ Hz)

3. Calculate the wavelength:

λ ≈ 4.49 x 10⁻⁷ meters

4. Convert to nanometers (nm):

λ ≈ 449 nm

Therefore, the wavelength of blue light with a frequency of 6.67 x 10¹⁴ Hz is approximately 449 nanometers.