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THE INTERNATIONAL UNIVERSITY (IU) VIETNAM NATIONAL UNIVERSITY - HCMC ASSIGNMENT SUBJECT: PHYSICS 2B GROUP: 3 – 5 STUDENTS (TO SUBMIT THE 17/04/2015) Student Name:_______________________Student ID:___________________ 1/ (30 marks) a/ A photon with wavelength collides with a stationary electron. The scattering photon has the wavelength ’ and has the direction that forms an angle from the incident direction of the photon. The electron scatters at an angle from the incident direction of the h photon and has the Compton wavelength e . Knowing that in the collision, energy and me c momentum are conserved, demonstrate that we have: ' e 1 cos . b/ In a Compton collision with an electron, a photon of violet light ( = 400 nm) is backward scattered through an angle 180o. - How much energy is transferred to the electron in this collision? - Compare the result with the energy the electron would acquire in a photoelectric process with the same photon. - Could violet light eject electrons from a metal by Compton collision? Explain. 2/ (30 marks) a/ Two electromagnetic waves with wavelengths 1 = 0,26 μm and 2 =1,21 3 4 attack the cathode of a photocell. The maximum value of the photoelectrons are v1 and v2 v1 respectively. Find the numerical threshold wavelength for the photoelectric effect of the cathode. b/ One milliwatt of light of wavelength 4,560A is incident on a caesium surface. Calculate the electron current liberated and the minimum stopping voltage necessary to reduce this current to zero. Work function of caesium is 1.93 volts. Assume a quantum efficiency of 0.5 % (that means only 0,5 % of these photons release photo-electrons.) 3/ (20 marks) We have the energy level for hydrogen atom: En 13.6 eV . n2 a/ For high principle quantum number (n) for hydrogen atom show that the spacing between the neighboring energy levels is proportional to 1 . n3 b/ In which transition of hydrogen atom is the wavelength of 486.1 nm produced? To which series does it belong? 4/ (20 marks) At what velocity does the relativistic kinetic energy differ from the classical energy by 1% ; by 10%? What is your observation? THE END