A plot of the number of neutrons (N) against | vedclass

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(C) For stable nuclei with $Z > 20$,the $N/Z$ ratio is greater than $1$. For an unstable nucleus with an $N/Z$ ratio less than $1$,the nucleus is prot

Vedclass · Accepted Answer

$B, D$

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(C) For stable nuclei with $Z > 20$,the $N/Z$ ratio is greater than $1$. For an unstable nucleus with an $N/Z$ ratio less than $1$,the nucleus is proton-rich.To increase the $N/Z$ ratio and move towards the stability line,the nucleus must decrease the number of protons or increase the number of neutrons.$1$. $\beta^{+}$-decay (positron emission): $^A_Z X ightarrow ^A_{Z-1} Y + ^0_{+1} e + 
u_e$. Here,a proton is converted into a neutron,increasing the $N/Z$ ratio.$2$. $K$-electron capture: $^A_Z X + ^0_{-1} e ightarrow ^A_{Z-1} Y + 
u_e$. Here,an orbital electron is captured by the nucleus,converting a proton into a neutron,which also increases the $N/Z$ ratio.Both processes effectively increase the $N/Z$ ratio towards $1$,thereby stabilizing the nucleus. Thus,the correct modes are $B$ and $D$.

Similar Questions

$A$ nucleus of mass $ 20 u $ emits a $ \gamma $ photon of energy $ 6 MeV $. If the emission is assumed to occur when the nucleus is free and at rest, then the nucleus will have a kinetic energy nearest to (take $ 1 u = 1.6 \times 10^{-27} kg $): (in $keV$)

$M_n$ and $M_p$ represent the mass of a neutron and a proton, respectively. If an element having atomic mass $M$ has $N$ neutrons and $Z$ protons, then the correct relation is:

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