What is the wavelength of a light of frequency 4.47 𝑥x 1014 Hz?A.149 nmB.588 nmC.296 nmD.671 nmSUBMITarrow_backPREVIOUS

To find the wavelength of light, we can use the formula for the speed of light:

c = λν

where: c is the speed of light, which is approximately 3.00 x 10^8 m/s, λ is the wavelength, ν is the frequency.

We are given the frequency (ν) and need to find the wavelength (λ). We can rearrange the formula to solve for λ:

λ = c / ν

Substituting the given values:

λ = (3.00 x 10^8 m/s) / (4.47 x 10^14 Hz)

Solving this gives us a wavelength of approximately 6.71 x 10^-7 m.

However, the options are given in nanometers (nm). To convert from meters to nanometers, we multiply by 10^9:

λ = 6.71 x 10^-7 m * 10^9 nm/m = 671 nm

So, the correct answer is D. 671 nm.