What is the wavelength of an X-ray whose frequency is 1.192 x 1018 Hz? c=𝜆𝜈

Question

What is its energy? E= hv

Answer 1

In the equation c = λν, c is the speed of light (2.998 x 10⁸ m/s) and ν is the frequency which you are given as 1.192 x 10¹⁸ Hz (where Hz is 1/s), and λ is the wavelength. So, rearranging the equation λ = c/ν = (2.998 x 10⁸ m/s)/(1.192 x 10¹⁸ 1/s) = 2.515 x 10^-10 m. Since 10^-12 is a picometer, you could also call this 251.5 picometers.

For the equation E = hν, ν again is the frequency (1.192 x 10¹⁸ 1/s) and h is Planck's constant which is 6.626 x 10^-34 m²kg/s so the energy (E) = (1.192 x 10¹⁸ 1/s)(6.626 x 10^-34 m²kg/s) = 7.898 x 10^-16 kgm²/s² or 7.898 x 10^-16 joules