1. Incident X-rays in a Compton scattering experiment haveawavelength of 0.400 n

Question

1. Incident X-rays in a Compton scattering experiment haveawavelength of 0.400 nm.
Determine the wavelength of the scattered X-rays that aredetectedat an angle of 80.0°. The Compton wavelength of theelectron is2.43 × 10-12 m.


2. Electrons have been removed from a beryllium atom (Z = 4)untilonly one remains.
Determine the energy of the photon that can be emitted iftheremaining electron is in the n = 2
level.
(a) 13.6 eV
(b) 54.4 eV
(c) 122 eV
(d) 164 eV
(e) 218 eV

3. What is the mass defect of 120Sn50(atomicmass = 119.902 200 u)? The hydrogen atom has a mass of 1.00783 u;and the neutron has a mass of 1.008 67 u. (uc2=931.5 MeV;Pleasegive the answer in MeV/c2.)

4. A particular nuclear fission reaction produces 1.50 ? 102 MeVperfission. How many
fissions per second are required to generate 3.00 × 108 Wofpower?
(a) 2.00 × 1016 (c) 3.20 × 1018 (e) 6.02×1023
(b) 5.25 × 1017 (d) 1.25 × 1019

Explanation / Answer

follow the posting guidelines ( post only one question). (1) Compton equation gives the difference in wavelength betweenscattered photon and incident photon          ' - =c * (1 - cos())                  (c Compton wavelength, scattering angle ) ==> ' = + c * (1 -cos() )                 = 0.40 x 10-9 + 2.43 x 10-12 * [ 1 -cos80]                 = ...............    (solve it) (2) E = Z [ E1 - E2] = 4 * [ 13.6 - 3.4] = 163.4 = 164 eV

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