# Consider the beta^(-) decay of ._(12)^(27)Mg ._(12)^(27)Mgrarr._(13)^(27)Al^(*)+._(-1)^(0)e+vecv The atomic masses of Mg^(27) and Al^(27) ar

36 views
in Physics
Consider the beta^(-) decay of ._(12)^(27)Mg
._(12)^(27)Mgrarr._(13)^(27)Al^(*)+._(-1)^(0)e+vecv
The atomic masses of Mg^(27) and Al^(27) are 26.98434u and 26.98154u respectively. Mass of electron is 0.00055u. The Al^(+) nucleus has excitively. Mass of electron is 1.015MeV.
(a) Find the Q value of the beta^(-) decay.
(b) What is maximum possible kinetic energy of emitted beta^(-) particle?
(c) Find the smallest wavelenght photon that Al^(+) can emit when it de-excites.
(d) As an alternative to gamma decay, the excited Al^(+) nucleus returns to its ground state by giving up its excitation energy to an atomic electron which has a binding energy of 2300eV. The process is known as internal conservation. Find the kinetic energy of the emitted electron.

by (24.2k points)
Correct Answer - (a) 2.0925MeV
(b) KE_(betalt1.0775MeV
(c) 0.0122 overset(@)A
(d) 1.013 MeV