Answer
435.6k+ views
Hint: When an atom is subjected to the alpha decay, the nucleus tends to the reduction of mass number by $4$ and reduction of atomic number by $2$. Then, that atom is subjected to beta decay, the atomic number gains by $1$, and the mass number remains the same. When an atom is subjected to gamma decay, there will not be any change in the atomic and mass number. In general, gamma decay normally occurs during both alpha decay as well as in beta decay.
Complete step by step solution:
Note:
During the alpha emission of the atomic nucleus the alpha particle generally ${}_2^4He$ will emit from the atomic nucleus. And during the beta emission of the atomic nucleus, the beta particle generally called negatron ${}_{ - 1}^0\beta $ will emit from the atom. And the gamma emission is a common thing that occurs during the alpha and beta emission, it won’t affect the atomic and mass number.
During alpha emission, the alpha particles with the atomic number $2$ and the mass number $4$ will emit.
During beta emission, the beta particles with a $ - 1$ atomic number and zero mass number will emit.
During gamma emission, there will not be any change in the atomic and mass number.
(i) Given, the nucleus of an atom contains $84$ protons and $128$neutrons. Hence, the atomic number of the atomic nucleus is the number of protons in the nucleus and the mass number is the sum of the protons and neutrons present in it.
Hence,
An atomic number of atomic nuclei ${\rm A}$ is $84$.
Mass number of the atomic nucleus ${\rm A}$ is $84 + 128 = 212$.
Thus, the atomic nucleus ${\rm A}$ is denoted by ${}_{84}^{212}{\rm A}$.
The atomic nucleus $A$ subjected to alpha emission,
${}_{84}^{212}{\rm A}\xrightarrow{{ - \alpha }}{}_2^4\alpha + {}_{82}^{208}{\rm B}$
Hence, the composition of the atomic nucleus ${\rm B}$ is ${}_{82}^{208}{\rm B}$.
(ii) The atomic nucleus ${\rm B}$ is subjected to the beta emission, thus the atomic number of the nucleus will get increase by one,
${}_{82}^{208}{\rm B}\xrightarrow{{ - \beta }}{}_{ - 1}^0\beta + {}_{83}^{208}C$
Hence, the composition of the atomic nucleus $C$ is ${}_{83}^{208}C$.
(iii) The atomic nucleus $C$ is subjected to the gamma emission, thus there will not be any change in the atomic and mass number. The gamma emission is generally occurring during the alpha and beta emission.
$\therefore$ The atomic nucleus ${\rm A}$ is denoted by ${}_{84}^{212}{\rm A}$.
The composition of the atomic nucleus ${\rm B}$ is ${}_{82}^{208}{\rm B}$.
The composition of the atomic nucleus $C$ is ${}_{83}^{208}C$.
During the alpha emission of the atomic nucleus the alpha particle generally ${}_2^4He$ will emit from the atomic nucleus. And during the beta emission of the atomic nucleus, the beta particle generally called negatron ${}_{ - 1}^0\beta $ will emit from the atom. And the gamma emission is a common thing that occurs during the alpha and beta emission, it won’t affect the atomic and mass number.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)