(Solved): help Q2: A) write down the decay equation and the Q-value for: -decay, -decay and decay. B) I ...

Q2: A) write down the decay equation and the Q-value for: $?$-decay, $?$-decay and $?$ decay. B) In $?$-decay, find the kinetic energy of the daughter nueleus in term of the $Q$ value. Q3: If the Beta decay energy is large compared with $m_e{c}^2$. Show that the average value of the $T_e$ is equal to $Q/2$. Q3)In beta decay, if the neutrino has a mass rather than the zero value, show that the electron spectrum is given by $\begin{array}{l}\text{ where }d??F(Z,p)p_e^2\left(T_{e(\max )}?T_e\right)[{\left(E_{\stackrel{?}{v}}^2?{\left(m_{\stackrel{?}{v}}{c}^2\right)}^2\right]}^{1/2}d{p}_e\\ E_v=T_{e(\max )}?T_e=\sqrt{\left(p_v^2{c}^2+m_v^2{c}^4\right)}\end{array}$ B) Sketch the beta particles spectrum. $\begin{array}{l}d?=p_e^2{\left[T_e(\max )?T_e\right]}^{2}dp\frac{?M{?}^2}{2{?}^3{c}^5{?}^7}\\ ?=\frac{2}{?}\sqrt{2mQ}\left(b\left[\frac{?}{2}?2{\left(\frac{R}{b}\right)}^{\frac{1}{2}}\right]\right)\end{array}$ ${\mathrm{M}}_e=.511\mathrm{MeV}/{\mathrm{c}}^2{\mathrm{M}}_p=938.272\mathrm{MeV}/{\mathrm{c}}^2\mathrm{Mn}=939.566\mathrm{MeV}/{\mathrm{c}}^2$