Class 11 Exam > Class 11 Questions > The radius of hydrogen atom in the ground sta...
Start Learning for Free
The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]
- a)0.17 Å
- b)0.265 Å
- c)0.53 Å
- d)1.06 Å
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The radius of hydrogen atom in the ground state is 0.53 Å. The r...
State of hydrogen atom (n) = 1 (due to ground state) Radius of hydrogen atom (r) = 0.53 Å.
Atomic number of Li (Z) = 3.
Radius of Li2+ ion
Atomic number of Li (Z) = 3.
Radius of Li2+ ion
Most Upvoted Answer
The radius of hydrogen atom in the ground state is 0.53 Å. The r...
Nanometers (nm).
This is a well-known value in atomic physics and is derived from the Bohr model of the hydrogen atom. The Bohr model describes the electron in the hydrogen atom as orbiting the nucleus in a circular path, with the radius of the orbit determined by the balance between the electrostatic attraction between the electron and nucleus and the centrifugal force due to the electron's motion.
The Bohr model predicts that the radius of the ground state orbit is given by:
r = (4πε0ħ^2)/(me^2)
where ε0 is the permittivity of free space, ħ is the reduced Planck constant, me is the mass of the electron, and e is the elementary charge.
Substituting in the values for these constants gives:
r = (4π(8.85×10^-12 N^-1 m^-2)(1.05×10^-34 J s/2π)^2)/((9.11×10^-31 kg)(1.60×10^-19 C)^2)
r = 5.29×10^-11 m = 0.53 nm
So the radius of the hydrogen atom in the ground state is approximately 0.53 nm.
This is a well-known value in atomic physics and is derived from the Bohr model of the hydrogen atom. The Bohr model describes the electron in the hydrogen atom as orbiting the nucleus in a circular path, with the radius of the orbit determined by the balance between the electrostatic attraction between the electron and nucleus and the centrifugal force due to the electron's motion.
The Bohr model predicts that the radius of the ground state orbit is given by:
r = (4πε0ħ^2)/(me^2)
where ε0 is the permittivity of free space, ħ is the reduced Planck constant, me is the mass of the electron, and e is the elementary charge.
Substituting in the values for these constants gives:
r = (4π(8.85×10^-12 N^-1 m^-2)(1.05×10^-34 J s/2π)^2)/((9.11×10^-31 kg)(1.60×10^-19 C)^2)
r = 5.29×10^-11 m = 0.53 nm
So the radius of the hydrogen atom in the ground state is approximately 0.53 nm.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]a)0.17 Åb)0.265 Åc)0.53 Åd)1.06 ÅCorrect answer is option 'A'. Can you explain this answer?
Question Description
The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]a)0.17 Åb)0.265 Åc)0.53 Åd)1.06 ÅCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]a)0.17 Åb)0.265 Åc)0.53 Åd)1.06 ÅCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]a)0.17 Åb)0.265 Åc)0.53 Åd)1.06 ÅCorrect answer is option 'A'. Can you explain this answer?.
The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]a)0.17 Åb)0.265 Åc)0.53 Åd)1.06 ÅCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]a)0.17 Åb)0.265 Åc)0.53 Åd)1.06 ÅCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]a)0.17 Åb)0.265 Åc)0.53 Åd)1.06 ÅCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]a)0.17 Åb)0.265 Åc)0.53 Åd)1.06 ÅCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]a)0.17 Åb)0.265 Åc)0.53 Åd)1.06 ÅCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]a)0.17 Åb)0.265 Åc)0.53 Åd)1.06 ÅCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]a)0.17 Åb)0.265 Åc)0.53 Åd)1.06 ÅCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]a)0.17 Åb)0.265 Åc)0.53 Åd)1.06 ÅCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is [1995]a)0.17 Åb)0.265 Åc)0.53 Åd)1.06 ÅCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup