Category : JEE Main & Advanced
(1) In nuclear physics, a convenient unit of mass is the unified atomic mass unit abbreviated u.
(2) The amu is defined as \[\frac{1}{12}th\] mass of a \[_{B}{{C}^{12}}\] at on.
(3) 1 amu (or 1 u) =\[1.6605402\times {{10}^{27}}kg\].
(4) Masses of electron, proton and neutrons :
Mass of electron\[\text{(}{{m}_{e}})\text{ }=\text{ }9.1\times {{10}^{31}}kg=\text{ }0.0005486\,\,amu\],
Mass of proton \[\text{(}{{m}_{p}})=1.6726\times {{10}^{27}}kg=\text{ }1.007276\,\,amu\]
Mass of neutron \[\text{(}{{m}_{n}})=1.6750\times {{10}^{27}}kg=1.00865\,\,amu\],
Mass of hydrogen atom \[\text{(}{{m}_{e}}+{{m}_{p}}\text{)}=1.6729\times {{10}^{27}}kg=\text{ }1.0078\,\,amu\]
(5) The energy associated with a nuclear process is usually large, of the order of MeV.
(6) According to Einstein, mass and energy are inter convertible. The Einstein's mass energy relationship is given by \[E=m{{c}^{2}}\]
If \[m=1\,\,amu,\,\,c=3\times {{10}^{8}}m/sec\] then \[E=931\,MeV\] i.e. 1 amu is equivalent to 931 MeV or \[1\,\,amu\,\,(or\text{ }1u)=931MeV\]
\[(1\,u){{c}^{2}}=931MeV\]\[\Rightarrow \] \[1u=931\frac{MeV}{{{c}^{2}}}\] or \[{{c}^{2}}=931\frac{MeV}{u}\]
Neutral atomic masses for some light nuclides
Element and isopore | Atomic mass (u) |
Hydrogen \[(_{1}^{1}H)\] | 1.007825 |
Deuterium \[(_{1}^{2}H)\] | 2.014102 |
Tritium \[(_{1}^{3}H)\] | 3.016049 |
Helium \[(_{2}^{3}He)\] | 3.016029 |
Helium \[(_{2}^{4}He)\] | 4.002603 |
Lithium \[(_{3}^{7}Li)\] | 7.016004 |
Beryllium \[(_{4}^{9}Be)\] | 9.012182 |
Carbon \[(_{6}^{12}C)\] | 12.000000 |
Nitrogen \[(_{7}^{14}N)\] | 14.003074 |
Oxygen \[(_{8}^{16}O)\] | 15.994915 |
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