Question

Question 8 10 pts X-ray photons are produced by electrons accelerated through a potential difference of 87 kV. Determine the wavelength of such a photon in nm. Your answer should be a number with four decimal places, do not include unit 1nm = 10.9 m Question 9 10 pts An X-ray photon has a momentum of 4.5 x 10-23 kg m/s. Determine its energy in keV. Your answer should be a number with one decimal place.

Answer 1

8) for the wavelength is L

Now, for the energy of the photon

energy of photon = h *c /(wavelength)

87 *10^3 * 1.602 *10^-19 = 6.626 *10^-34 * 3 *10^8/L

L = 1.43 *10^-11 m = 0.0143 nm

the wavelength is 0.0143 nm

9)

for the wavelength

momentum = h/wavelength

4.5 *10^-23 = 6.626 *10^-34/wavelength

wavelength = 1.472 *10^-11 m

energy of the photon = h *c/(wavelength * e) eV

energy of the photon = 6.626 *10^-34 * 3 *10^8/(1.472 *10^-11 * 1.602 *10^-19)

energy of the photon = 84295 V = 84.3 kV

the energy of the photon is 84.3 kV