42. We assume the neutrino has negligible mass. The photons, of course, are also taken to have zero mass.
Q
1
=
(2m
p
− m
2
− m
e
)c
2
= [2(m
1
− m
e
)
− (m
2
− m
e
)
− m
e
]c
2
=
[2(1.007825 u)
− 2.014102 u − 2(0.0005486 u)](931.5 MeV/u)
=
0.42 MeV
Q
2
=
(m
2
+ m
p
− m
3
)c
2
= (m
2
+ m
p
− m
3
)c
2
=
(2.014102 u) + 1.007825 u
− 3.016029 u)(931.5 MeV/u)
=
5.49 MeV
Q
3
=
(2m
3
− m
4
− 2m
p
)c
2
= (2m
3
− m
4
− 2m
p
)c
2
=
[2(3.016029 u)
− 4.002603 u − 2(1.007825 u)](931.5 MeV/u)
=
1
2.86 MeV .