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: 8.90 x 10¹⁴ Hz

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.

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: F requency of nitrogen laser = 8.899 X 10^14 s-1.