What is the wavelength of a light of frequency 4.47 𝑥x 1014 Hz?A.296 nmB.149 nmC.671 nmD.588 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 can rearrange the formula to solve for the wavelength:

λ = c / ν

Substituting the given values:

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

λ = 0.671 x 10^-6 m

To convert from meters to nanometers, we multiply by 10^9:

λ = 0.671 x 10^-6 m x 10^9 nm/m = 671 nm

So, the wavelength of the light is approximately 671 nm, which corresponds to option C.

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 can rearrange the formula to solve for the wavelength:

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 C. 671 nm.