Answer
424.8k+ views
Hint: Atomic nucleus is a small and dense region consisting of protons and neutrons at the center of an atom discovered by Ernest Rutherford in 1911. The size of the radius of the nucleus is 1-10 fm or femtometre.
Complete step by step answer:
Maximum mass of an atom is concentrated in the nucleus with negligible contribution from electrons. Nuclear force binds protons and neutrons to form a nucleus. Nuclear radius (R) is one of the basic quantities. For stable nucleus, the nuclear radius is approximately proportional to the cube root of the mass number (A) of the nucleus and the nucleons arranged in more spherical configurations.
Mathematically, represented as $\text{R = }{{\text{R}}_{0}}{{\text{A}}^{{1}/{3}\;}}$, where R is the radius and A is the atomic mass number (the number of protons plus the number of neutrons) and ${{\text{R}}_{0}}$is $1.25\times {{10}^{-15}}$m. The stable nucleus has approximately a constant density.
The correct answer to this question is option ‘c’ that the radius of the nucleus is proportional to the cube root of its mass number.
Note: The stability of an atom is counted by the stability of its nucleus. More stable a nucleus is the required energy is more per nucleon to pull the nucleus apart. The stability is caused by the attractive nuclear force between the nucleons. $_{56}\text{Fe}$ is the most stable nucleus. Repulsion between distant protons leads to instability and less binding energy per particle.
Complete step by step answer:
Maximum mass of an atom is concentrated in the nucleus with negligible contribution from electrons. Nuclear force binds protons and neutrons to form a nucleus. Nuclear radius (R) is one of the basic quantities. For stable nucleus, the nuclear radius is approximately proportional to the cube root of the mass number (A) of the nucleus and the nucleons arranged in more spherical configurations.
Mathematically, represented as $\text{R = }{{\text{R}}_{0}}{{\text{A}}^{{1}/{3}\;}}$, where R is the radius and A is the atomic mass number (the number of protons plus the number of neutrons) and ${{\text{R}}_{0}}$is $1.25\times {{10}^{-15}}$m. The stable nucleus has approximately a constant density.
The correct answer to this question is option ‘c’ that the radius of the nucleus is proportional to the cube root of its mass number.
Note: The stability of an atom is counted by the stability of its nucleus. More stable a nucleus is the required energy is more per nucleon to pull the nucleus apart. The stability is caused by the attractive nuclear force between the nucleons. $_{56}\text{Fe}$ is the most stable nucleus. Repulsion between distant protons leads to instability and less binding energy per particle.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 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)
Give 10 examples for herbs , shrubs , climbers , creepers
![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)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english 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)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)