What is the wavelength, in nanometers, of light with a frequency of 3.53×1015 H2?

Answer 1

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

c = λν

Where c is the speed of light (approximately 3.00 x 10^8 m/s).

Rearranging the equation to solve for wavelength:

λ = c/ν

Substituting the given values:

λ = (3.00 x 10^8 m/s) / (3.53 x 10^15 Hz)

Since the wavelength is typically expressed in nanometers (nm), you can convert the speed of light from meters per second (m/s) to nanometers per second (nm/s) by multiplying it by 10^9:

λ = (3.00 x 10^17 nm/s) / (3.53 x 10^15 Hz)

Simplifying:

λ ≈ 85.03 nm

Therefore, the wavelength of light with a frequency of 3.53 x 10^15 Hz is approximately 85.03 nanometers (nm).