To find the wavelength of red light with a frequency of 4.00 × 10^14 Hz, we can use the formula:
Speed of light (c) = wavelength (λ) × frequency (ν)
Rearranging the formula, we have:
λ = c / ν
The speed of light (c) is approximately 3.00 × 10^8 meters per second.
Plugging in the values:
λ = (3.00 × 10^8 m/s) / (4.00 × 10^14 Hz)
Calculating the result:
λ ≈ 7.50 × 10^-7 meters
Therefore, the wavelength of red light with a frequency of 4.00 × 10^14 Hz is approximately 7.50 × 10^-7 meters, which is equivalent to 750 nanometers (nm).