What is the wavelength of a light of frequency 4.47 𝑥x 1014 Hz?A.296 nmB.149 nmC.671 nmD.588 nmSUBMITarrow_backPREVIOUS
Question
What is the wavelength of a light of frequency 4.47 𝑥 10^14 Hz?
A. 296 nm
B. 149 nm
C. 671 nm
D. 588 nm
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Solution
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.
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