To complete the nuclear decay table, we need to fill in the missing values for mass, charge, and symbols of various decay particles: Alpha, Beta, Gamma, and Positron Emission.
Let's fill each cell of the table step-by-step based on the provided results:
1. Alpha Particle:
- Mass: 4
- Charge: +2
- Symbol: [tex]\(_2^4 He\)[/tex]
The row for Alpha is already filled out correctly:
[tex]\[
\begin{array}{|c|c|c|c|}
\hline
\text{Decay Type} & \text{Mass of particle} & \text{Charge of particle} & \text{Symbol} \\
\hline
\text{Alpha} & 4 & +2 & _2^4\text{He} \\
\hline
\end{array}
\][/tex]
2. Beta Particle:
- Mass: 0
- Charge: -1
- Symbol: [tex]\(_{-1}^0 e\)[/tex] (electron)
Completing the Beta row:
[tex]\[
\begin{array}{|c|c|c|c|}
\hline
\text{Decay Type} & \text{Mass of particle} & \text{Charge of particle} & \text{Symbol} \\
\hline
\text{Beta} & 0 & -1 & _{-1}^0 e \\
\hline
\end{array}
\][/tex]
3. Gamma Particle:
- Mass: 0
- Charge: 0
- Symbol: [tex]\(_0^0 \gamma\)[/tex]
Completing the Gamma row:
[tex]\[
\begin{array}{|c|c|c|c|}
\hline
\text{Decay Type} & \text{Mass of particle} & \text{Charge of particle} & \text{Symbol} \\
\hline
\text{Gamma} & 0 & 0 & _0^0 \gamma \\
\hline
\end{array}
\][/tex]
4. Positron Emission:
- Mass: 0
- Charge: +1
- Symbol: [tex]\(_1^0 e\)[/tex] (positron)
Completing the Positron Emission row:
[tex]\[
\begin{array}{|c|c|c|c|}
\hline
\text{Decay Type} & \text{Mass of particle} & \text{Charge of particle} & \text{Symbol} \\
\hline
\text{Positron Emission} & 0 & +1 & _1^0 e \\
\hline
\end{array}
\][/tex]
Now the filled Nuclear Decay Table looks like this:
[tex]\[
\begin{array}{|c|c|c|c|}
\hline
\text{Decay Type} & \text{Mass of particle} & \text{Charge of particle} & \text{Symbol} \\
\hline
\text{Alpha} & 4 & +2 & _2^4\text{He} \\
\hline
\text{Beta} & 0 & -1 & _{-1}^0 e \\
\hline
\text{Gamma} & 0 & 0 & _0^0 \gamma \\
\hline
\text{Positron Emission} & 0 & +1 & _1^0 e \\
\hline
\end{array}
\][/tex]
Hence, the table is now completely filled based on the given information.
