
If is the Bohr radius, then the radius in triply ionized beryllium will be,
Answer
488.4k+ views
Hint: The radius of the hydrogen equivalent system can be found by taking the ratio of the product of the square of the number of shells present and the radius of Bohr orbit to the atomic number of the atom. Here it is mentioned that the atom is a triply ionised beryllium. Triply ionised beryllium is having the number of electrons as one and atomic number as four. Substitute all this in the equation for the radius of the atom. This will help you in answering this question.
Complete step by step answer:
The radius of an hydrogen equivalent system which is having an atomic number mentioned as , is given to be as . This can be written as,
Where be the radius of the Bohr orbit.
Here it is mentioned that the atom is a triply ionised beryllium. Triply ionised beryllium is having the number of electrons as one. The atomic number can be written as,
And the number of orbit has been mentioned as,
Let us substitute this in the above cited equation. This can be written as,
Therefore the radius of the orbit has been calculated.
This has been given as option B.
Note:
The Bohr radius is basically defined as a physical constant. T will be equivalent to the most probable distance between the nucleus of an atom and the first orbital of the hydrogen where the electron revolves. It is referred to as the ground state of an atom which is non-relativistic and also with an infinitely heavy proton. It is named after the renowned scientist Neils Bohr. He explained the Bohr model of an atom.
Complete step by step answer:
The radius of an hydrogen equivalent system which is having an atomic number mentioned as
Where
Here it is mentioned that the atom is a triply ionised beryllium. Triply ionised beryllium is having the number of electrons as one. The atomic number can be written as,
And the number of orbit has been mentioned as,
Let us substitute this in the above cited equation. This can be written as,
Therefore the radius of the orbit has been calculated.
This has been given as option B.
Note:
The Bohr radius is basically defined as a physical constant. T will be equivalent to the most probable distance between the nucleus of an atom and the first orbital of the hydrogen where the electron revolves. It is referred to as the ground state of an atom which is non-relativistic and also with an infinitely heavy proton. It is named after the renowned scientist Neils Bohr. He explained the Bohr model of an atom.
Latest Vedantu courses for you
Grade 10 | CBSE | SCHOOL | English
Vedantu 10 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹37,300 per year
EMI starts from ₹3,108.34 per month
Recently Updated Pages
Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Biology: Engaging Questions & Answers for Success

Master Class 12 Physics: Engaging Questions & Answers for Success

Master Class 4 Maths: Engaging Questions & Answers for Success

Master Class 4 English: Engaging Questions & Answers for Success

Trending doubts
Give 10 examples of unisexual and bisexual flowers

Draw a labelled sketch of the human eye class 12 physics CBSE

a Tabulate the differences in the characteristics of class 12 chemistry CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Why is the cell called the structural and functional class 12 biology CBSE

Differentiate between insitu conservation and exsitu class 12 biology CBSE
