Question

Calculate the frequency

337.1 nm (wavelength of a nitrogen laser)
with the final answer using 3 sig figs, and being in S^-1

Answer 1

Answer: 8.90 x 10¹⁴ Hz


Step-by-step explanation:


1) Frequency (f) and wavelength (λ) are inversely related.


2) The equation is: f = c / λ, where c is the speed of light


3) c = 3 x 10⁸ m/s in vacUum


4) To make the calculations you need yo use the conversion between nanometers and meters:


1 meter = 10⁹ nanometer


5) Calculations:

f = 3 x 10⁸ m/s / 337.1 x 10⁻⁹ m = 8.90 x 10¹⁴ Hz


Hz is hertz, the SI unit for frequency and it means cycles per second, that is number of waves per second.

Answer 2

Given: wavelength of Nitrogen laser (∧) = 337.1 nm = 337.1 X 10^-9 m

We know that, Energy of photon (E) = hc/∧ = hv
where, v = frequency of photon and c = speed of light = 3 X 10^8 m/s

Thus, v = c/∧ = (3 X 10^8)/ (337.1 X 10^-9) = 8.899 X 10^14 s-1.

Answer: Frequency of nitrogen laser = 8.899 X 10^14 s-1.