120keV 40keV g2 e e g1 Tem 120keV40keV160keV12400eV12400eV160keV00243112400eV120keV ID: 411469
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1. In a Compton scattering event, the scattered photon has an energy of 120 keV and therecoiling 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. 120keV 40keV g2 e e g1 Tem 120keV40keV160keV12400eV--------------------------------===12400eV160keV-----------------------------------------0.02431===--------12400eV120keV--------------------------------===0.1030.0775-1.049cos0.049 p gqsinpefpgcqsinÞsinpec f Ð40keV511keV511keV 206keV120keV0.999206keV-------------------------------------- 2. 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 assumethat Jupiter is a perfect absorber and that it is in equilibrium with respect to energy receivedfrom the sun. What is the most probable wavelength of the EM radiation emitted by Jupiter?Radiation falls off asTotal energy hitting Jupiter(b) most probable wavelength EarthJupiter J 240071400 R jupiter-51.8------51.8* ----------4* 5.67*-------------------------------------------------------------- kThc-----------------124004.97* .025 *2.4310 has a work function of. When illuminated with light ofwavelength, the maximum kinetic energy of electrons is. Metalilluminated with light of the same wavelength and the maximum kinetic energy of ejectedelectrons is.(a) What is the wavelength of the incident light?(b) What is the work function of metal4.7eV0.8eV3.2eV4.70.85.5-5.5 12400eVA-----------------------------=== B3.2=fB2.3 4. In semiconductors, electrons with charge and effective mas can carry current. Inadditon, there are excitations, called holes that behave exactly as if they were positivelychargedelectronswitheffectivemass.Inadditionsemi-conductorshavealargedielectricconstant, so the Coulomb force between the electron and the hole is.Electrons and holes can form a Òhydrogenic atomÓ called an exciton. In Germanium,,, and. Calculate the ground state energy andwavelength of the Þrst Balmer line of an exciton in Germanium.0.04210.08====------------ E ----------------Ð13.6-------------==== 536-6.03=== 5. Helium atoms of mass and kinetic energy arescatteredoff cubic crystalline material. The smallest scattering at which a Bragg peak isobserved is at. What is the lattice spacing of the crystal?3.72Gev/10eV23.72101012¤---------------------------------------------------------------------------0.415=== dqsinn=n=1 2 q =d d 270-0.22nmd=== 6. Estimate the temperature below which you would not expect to see the Balmer series in theabsorption spectrum of hydrogen. (use as a guideline that only about 1% of the electrons are inthe correct energy level for the Balmer series to be observed).Balmer series in emission: from level toBalmer series in absorption: from level n2�E2 nÞ2=P2P1eE2E1ÐBT¤Ð0.011 140-------------26604 7.Calculatethewavelengthoflightemittedwhenanelectroninaone-dimensionalsquarewelloflength 3 nm undergoes a transition from level 4 to level 2.-------------80.511103----------------------------------------------eVn====120.042===120.042-------------------------===