1) The isotope 191-Os-76 decays via the emission of both an electron and a gamma
ID: 1420241 • Letter: 1
Question
1) The isotope 191-Os-76 decays via the emission of both an electron and a gamma particle. (It also emits a neutrino but we'll ignore that here.) Here is the mass of 191-Os and some nearby isotopes:
191-Os: 190.960930 u
191-Ir: 190.960594 u
187-Re: 186.955753 u
192-Os: 191.961481 u
193-Ir: 192.962926 u
(a) Write the nuclear reaction equation.
(b) The energy of the gamma emitted is 0.171 MeV. Obtain the wavelength of this particle.
(c) Obtain the kinetic energy of the emitted electron. (Again, don't worry about the neutrino. You can assume the neutrino has no kinetic energy.)
Explanation / Answer
a) 191Os ----------beta decay--------------> 191Ir + e- + gamma particle + neutrino
b) Here, 2.739 * 10-14 = 6.63 * 10-34 * 3 * 108/lambda
=> wavelength = 7.26 * 10-12 m
c) kinetic energy of electron = 2.85299 * 10-8 J
= 178070.07432 MeV
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