Question

1. A hydrogen atom, initially in the first excited state (initial ni = 2), absorbs a photon of wavelength 656.30 nm.

(a) (5) What is the final state ? In other words, solve for the FINAL nf . Show all work.
(b) (5) What would be the wavelength of a photon, which , when absorbed by the atom, ionizes an electron from the first excited level ?

2. X-rays with initial wavelength λ = 0.0665 nm undergo Compton scattering.

(a) (5) At what photon scattering angle Ø is the largest change in wavelength λ’ – λ according to the Compton scattering formula?

(b) (5) What is the final wavelength λ’ of the scattered photon at the angle of part (a)?

3. An electron has a de Broglie wavelength of 2.80x10 -10 m. Find:
(a) (2) the magnitude p of its momentum

(b) (3) its kinetic energy.
Note: Electron mass = 9.11x10-31 kg.

4. What is the de Broglie wavelength for an electron with speed v = 0.96c?

Hint: Use the correct relativistic expression for linear momentum magnitude p. Note: Electron mass = 9.11x10-31 kg.

Answer 1