The Q-value of the decay { }_{11}^{22} Na rig | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) In $\beta^+$ decay,a proton inside the nucleus converts into a neutron,a positron $(e^+)$,and a neutrino $(v)$. The reaction is: ${ }_{11}^{22} Na

Vedclass · Accepted Answer

$[m({ }_{11}^{22} Na) - m({ }_{10}^{22} Ne) - 2m_e] c^2$

Vedclass · Answer

(C) In $\beta^+$ decay,a proton inside the nucleus converts into a neutron,a positron $(e^+)$,and a neutrino $(v)$. The reaction is: ${ }_{11}^{22} Na \rightarrow{ }_{10}^{22} Ne + e^+ + v$. Here,$m({ }_{11}^{22} Na)$ and $m({ }_{10}^{22} Ne)$ represent the masses of the neutral atoms. The mass of the ${ }_{11}^{22} Na$ atom includes $11$ electrons,while the mass of the ${ }_{10}^{22} Ne$ atom includes $10$ electrons. Writing the mass balance for the nuclei: $M_{nuc}({ }_{11}^{22} Na) = m({ }_{11}^{22} Na) - 11m_e$ and $M_{nuc}({ }_{10}^{22} Ne) = m({ }_{10}^{22} Ne) - 10m_e$. The $Q$-value is given by: $Q = [M_{nuc}({ }_{11}^{22} Na) - M_{nuc}({ }_{10}^{22} Ne) - m_e] c^2$. Substituting the atomic masses: $Q = [(m({ }_{11}^{22} Na) - 11m_e) - (m({ }_{10}^{22} Ne) - 10m_e) - m_e] c^2$. $Q = [m({ }_{11}^{22} Na) - m({ }_{10}^{22} Ne) - 11m_e + 10m_e - m_e] c^2$. $Q = [m({ }_{11}^{22} Na) - m({ }_{10}^{22} Ne) - 2m_e] c^2$.

The $Q$-value of the decay ${ }_{11}^{22} Na \rightarrow{ }_{10}^{22} Ne + e ^{+}+v$ is

Similar Questions

For the given reaction, the particle $X$ is $_6C^{11} \to _5B^{11} + \beta^+ + X$.

$A$ nucleus $_Z{X^A}$ emits $9 \alpha$-particles and $5 \beta$-particles. The ratio of total protons to neutrons in the final nucleus is:

In the given nuclear reaction,$A, B, C, D, E$ represent:
$_{92}U^{238} \xrightarrow{\alpha} _{B}Th^{A} \xrightarrow{\beta} _{D}Pa^{C} \xrightarrow{E} _{92}U^{234}$

The correct order of ionizing capacity of $\alpha, \beta,$ and $\gamma$ rays is:

Beta rays emitted by a radioactive material are

Vedclass Test Series

Exam Paper Generator

Online Exam Module