Answer:
Explanation:
The units of the question are not clear. The approximate range of wavelengths for x-rays is betwen 0.01 and 10 nanometers.
I will answer assuming the wavelength is 5 nanometers.
5 nanometers is 5× 10⁻⁹ meters.
The fomula to convert the wavelength to frequency is:
[tex]f=\dfrac{c}{\lambda}[/tex]
Where, c is the speed of light, which is in vacuum, f is the frequency in hertz (Hz), and λ is the wavelength.
Substituting in the formula:
[tex]f=\dfrac{299,792,458m/s}{5\times 10^{-9}m}\approx 6\times 10^{16}s^{-1}=6\times 10^{16}Hz[/tex]
To convert to years multiply by the conversion factors:
[tex]f=6.00\times 10^{16}s^{-1}\times \dfrac{3600s}{1h}\times \dfrac{24h}{1day}\times \dfrac{365day}{1year}=1.89year^{-1}\approx2year^{-1}[/tex]
