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Correct unit of Bohr magneton is
- a)T
- b)T/J
- c)J/T
- d)J
Correct answer is option 'C'. Can you explain this answer?
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Correct unit of Bohr magneton isa)Tb)T/Jc)J/Td)JCorrect answer is opti...
The Bohr magneton μB is a physical constant and the natural unit for expressing the magnetic moment of an electron caused by either its orbital or spin angular momentum.
μB= eℏ/2me
where e is the elementary charge, ℏ is the reduced Planck's constant, me is the electron rest mass.
The value of Bohr magneton in SI units is 9.27400968(20)×10−24JT−1
μB= eℏ/2me
where e is the elementary charge, ℏ is the reduced Planck's constant, me is the electron rest mass.
The value of Bohr magneton in SI units is 9.27400968(20)×10−24JT−1
Most Upvoted Answer
Correct unit of Bohr magneton isa)Tb)T/Jc)J/Td)JCorrect answer is opti...
The Bohr magneton μB is a physical constant and the natural unit for expressing the magnetic moment of an electron caused by either its orbital or spin angular momentum.
μB= eℏ/2me
where e is the elementary charge, ℏ is the reduced Planck's constant, me is the electron rest mass.
The value of Bohr magneton in SI units is 9.27400968(20)×10−24JT−1
μB= eℏ/2me
where e is the elementary charge, ℏ is the reduced Planck's constant, me is the electron rest mass.
The value of Bohr magneton in SI units is 9.27400968(20)×10−24JT−1
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Correct unit of Bohr magneton isa)Tb)T/Jc)J/Td)JCorrect answer is opti...
Understanding the Bohr Magneton
The Bohr magneton is a physical constant that represents the magnetic moment of an electron due to its spin and orbital motion. It's crucial in quantum mechanics and solid-state physics.
Units of Bohr Magneton
- The Bohr magneton is denoted as "μB" and has a specific unit that can be derived from its definition.
- The formula for the magnetic moment (μ) is given in terms of energy (Joules) and magnetic field (Tesla).
Unit Analysis
- The unit of magnetic moment is defined as Joules per Tesla (J/T).
- This arises because the magnetic moment is the energy associated with a magnetic field.
Why J/T is Correct
- The relationship between magnetic moment and energy is essential:
- The energy (E) associated with a magnetic moment in a magnetic field (B) can be expressed as E = -μ · B.
- Rearranging gives us the magnetic moment as μ = E/B.
- Therefore, substituting the units, we have:
- Energy (E) in Joules (J) divided by magnetic field (B) in Tesla (T) gives us the unit J/T.
Conclusion
- The correct unit of the Bohr magneton is indeed J/T, confirming that the answer is option 'C'.
- This unit highlights the relationship between magnetic moments and the energy experienced in magnetic fields, which is fundamental in understanding magnetic properties in quantum mechanics.
The Bohr magneton is a physical constant that represents the magnetic moment of an electron due to its spin and orbital motion. It's crucial in quantum mechanics and solid-state physics.
Units of Bohr Magneton
- The Bohr magneton is denoted as "μB" and has a specific unit that can be derived from its definition.
- The formula for the magnetic moment (μ) is given in terms of energy (Joules) and magnetic field (Tesla).
Unit Analysis
- The unit of magnetic moment is defined as Joules per Tesla (J/T).
- This arises because the magnetic moment is the energy associated with a magnetic field.
Why J/T is Correct
- The relationship between magnetic moment and energy is essential:
- The energy (E) associated with a magnetic moment in a magnetic field (B) can be expressed as E = -μ · B.
- Rearranging gives us the magnetic moment as μ = E/B.
- Therefore, substituting the units, we have:
- Energy (E) in Joules (J) divided by magnetic field (B) in Tesla (T) gives us the unit J/T.
Conclusion
- The correct unit of the Bohr magneton is indeed J/T, confirming that the answer is option 'C'.
- This unit highlights the relationship between magnetic moments and the energy experienced in magnetic fields, which is fundamental in understanding magnetic properties in quantum mechanics.
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Correct unit of Bohr magneton isa)Tb)T/Jc)J/Td)JCorrect answer is option 'C'. Can you explain this answer? for Class 12 2026 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Correct unit of Bohr magneton isa)Tb)T/Jc)J/Td)JCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Correct unit of Bohr magneton isa)Tb)T/Jc)J/Td)JCorrect answer is option 'C'. Can you explain this answer?.
Correct unit of Bohr magneton isa)Tb)T/Jc)J/Td)JCorrect answer is option 'C'. Can you explain this answer? for Class 12 2026 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Correct unit of Bohr magneton isa)Tb)T/Jc)J/Td)JCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Correct unit of Bohr magneton isa)Tb)T/Jc)J/Td)JCorrect answer is option 'C'. Can you explain this answer?.
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