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Answers to Chapter 27 problems

27.2.1   3.4 × 10–11 J

27.3.1   0.000840 u

27.3.2   5.6 MeV

27.3.3   (a)  Z = 7.71    →     nearest integer Z = 8       (b)  Z = 93.17    →     nearest integer Z = 93

27.4.1  (i)  3.1 × 104 disintegrations per second     (ii)  0.13 %

27.4.2   1.20 × 106 years

27.4.3   8396

27.4.4   4.51 × 109 years

27.4.5   1.72 × 104 years

27.4.6   2.4 × 109 years

27.5.1   8 alpha-decays and 6 beta-decays;    51.7 MeV

27.5.2   5.37 MeV

27.5.3   \( {^4_2} \)He;   4.1 × 106 m s–1 (at 70° to the initial alpha-particle direction)

 27.5.4   29 MeV

27.5.5   (a)  7 alpha-decays     (b)  4 beta-decays

27.5.6   6.2 × 10–5 m s–1 

27.5.7   

27.6.1   18.5 s

27.6.2   4.23 mJ

27.6.3   0.0029 K

27.7.1   0.16 MeV

27.7.2   1.31 MeV (electron emission);    0.48 MeV (positron emission);     1.50 MeV (electron capture)

27.7.3   334 W 

27.7.4   9.4 × 10–11 s

27.9.1   (i)  1     (ii)  0.284;     55 

27.9.2   1.76 × 109 years

27.10.1  6.4 x 109 K

27.10.2  0.48 MeV

27.11.1     (a) Conservation of Lm                        0          →        +1        -1

                  (b) Conservation of Le                       0          →        -1        +0        +1

                        and conservation of Lm                -1         â†’        +0        -1        +0

                  (c) Conservation of Le                        0          →        -1        +1

                  (d) Conservation of Lt                        1          →        +0        +1

27.12.1   

              

27.12.2   

              

 

27.12.3   One possibility is the D++ particle (quark composition uuu) which, with  pair creation, could produce a p+  and a proton (uud)

Understanding Physics

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Mansfield and O'Sullivan, Understanding Physics, 3rd ed., John Wiley & Sons, Chichester (2020),

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