Quantum Physics Practice Exam: Compton Scattering, Solar Constant, and More, Exams of Physics

Physics 250. Practice Exam II. 1. In a Compton scattering event, ... Electrons and holes can form a “hydrogenic atom” called an exciton. In Germanium,.

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Physics 250
Practice Exam II
1. In a Compton scattering event, the scattered photon has an energy of 120 keV and the
recoiling electron has an energy of 40 keV. Find (a) the wavelength of the incident photon,
(b) the angle at which the photon is scattered, and (c) the recoil angle of the electron.θφ
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Physics 250

Practice Exam II

  1. In a Compton scattering event, the scattered photon has an energy of 120 keV and the recoiling electron has an energy of 40 keV. Find (a) the wavelength of the incident photon, (b) the angle θ at which the photon is scattered, and (c) the recoil angle φ of the electron.
  1. The solar constant (energy/sec/ received from the sun at earth) is . The earth-sun distance is. The radius of the earth is . the radius of Jupiter is and its distance from the sun is . Calculate the average temperature of Jupiter. You may assume that Jupiter is a perfect absorber and that it is in equilibrium with respect to energy received from the sun. What is the most probable wavelength of the EM radiation emitted by Jupiter?

Sun

Earth (^) Jupiter

R J

R E

m 2

W = 1400 Wm^2 R (^) E =1.5 × 1011 m r (^) E = 2 400, km r (^) J = 71 400, km

R (^) J = 5.2 R (^) E =7.8 × 1011 m

  1. In semiconductors, electrons with charge and effective mas can carry current. In

additon, there are excitations, called holes that behave exactly as if they were positively charged electrons with effective mass. In addition semi-conductors have a large dielectric

constant , so the Coulomb force between the electron and the hole is. Electrons and holes can form a “hydrogenic atom” called an exciton. In Germanium, , , and. Calculate the ground state energy and wavelength of the first Balmer line of an exciton in Germanium.

  • e m (^) e^ *

m (^) h^ *

κ ke 2 κ r 2

  • ⁄ ( )

m (^) e^ *^ = 0.082 m (^) e m (^) h^ *^ = 0.042 m (^) e κ = 16.

  1. Helium atoms of mass and kinetic energy are scatteredoff cubic crystalline material. The smallest scattering at which a Bragg peak is observed is at. What is the lattice spacing of the crystal?

M = 3.72Gev/ c^2 K = 1.2 × 10 – 3 eV

  1. Calculate the wavelength of light emitted when an electron in a one-dimensional square well of length 3 nm undergoes a transition from level 4 to level 2.