Question

(a) Write the basic nuclear process involved in the emission of ${\beta }^{+}$ in a symbolic form, by a radioactive nucleus.

(b) In the reactions given below:

$\left(i\right)\stackrel{11}{6}C⟶\stackrel{z}{y}B+x+v$

$\left(ii\right)\stackrel{12}{6}C+\stackrel{12}{6}C⟶\stackrel{20}{a}Ne+\stackrel{c}{b}He$

Find the value of x,y,z and a,b,c.

Answer 1

(a) In ${\beta }^{+}$ -decay,the atomic number of the radioactive nucleus decreases by one and its mass number remains same. In this process, a positron $\left(e^{+}\right)$ and a new particle neutrino $\nu$ are emitted from the nucleus.

Generally,
$\stackrel{A}{Z}X⟶Z-\stackrel{A}{1}Y+e^{+}v$

$\left(b\right)\left(i\right)\stackrel{11}{6}C\to \stackrel{z}{y}B+x+v$

$\stackrel{11}{6}C\to \stackrel{11}{5}B+\stackrel{0}{1}\beta +v$

The corresponding y and z are 5 and 11, respectively.The x is the position.

$\left(ii\right)\stackrel{12}{6}C+\stackrel{12}{6}C\to \stackrel{20}{a}Ne+\stackrel{c}{b}He$

$\Rightarrow \stackrel{12}{6}C+\stackrel{12}{6}C\to \stackrel{20}{10}Ne+\stackrel{4}{2}He$

The corresponding values of a, b, c are 10, 2 and 4, respectively.