Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 32 - Nuclear Physics and Nuclear Radiation - Problems and Conceptual Exercises - Page 1152: 22

Answer

(a) $^{35}_{16}S\rightarrow ^{35}_{17}Cl+e^{-};168KeV$ (b) $^{212}_{82}Pb\rightarrow ^{212}_{83}Bi+e^{-};566KeV$

Work Step by Step

(a) The required decay process is given as $^{35}_{16}S\rightarrow ^{35}_{17}Cl+e^{-}$ $\Delta m=m_f-m_i$ $\Delta m=34.968853u-34.969033u=-0.00018u$ Now the energy released is given as $E=|\Delta m|c^2$ We plug in the known values to obtain: $E=(0.00018u)(\frac{931.494\frac{MeV}{c^2}}{1u})c^2$ $\implies E=168KeV$ (b) We know that the required decay process is given as $^{212}_{82}Pb\rightarrow ^{212}_{83}Bi+e^{-}$ $\Delta m=m_f-m_i$ $\Delta m=211.991272u-211.99188u=-0.000608u$ Now the energy released can be determined as $E=|\Delta m|c^2$ $\implies E=|-(0.000608u)(\frac{931.494\frac{MeV}{c^2}}{1u})|c^2$ $\implies E=566KeV$
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