Question

If an x-ray has a wave link of five in M what is its frequency answer and years of Hz

Answer 1

• 6 × 10¹⁶ Hz

• 2 year ⁻¹

Step-by-step 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:

`f=(c)/(\lambda)`

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:

`f=(299,792,458m/s)/(5* 10^(-9)m)\approx 6* 10^(16)s^(-1)=6* 10^(16)Hz`

To convert to years multiply by the conversion factors:

• 1 year = 365 days

• 1 day = 24 hours

• 1 hour = 3600 s

`f=6.00* 10^(16)s^(-1)* (3600s)/(1h)* (24h)/(1day)* (365day)/(1year)=1.89year^(-1)\approx2year^(-1)`