GATE Exam > GATE Questions > The normal Zeeman splitting in the mercury 49...
Start Learning for Free
The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T is
- a)3.4 x 10-1 Å
- b)1.7 x 10-2 Å
- c)3.4 x10-2 Å
- d)1.7 x 10-1 Å
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The normal Zeeman splitting in the mercury 4916 Å line in a magn...
The Zeeman splitting 
....(i)
∵
∴ Equation (i) ⇒
⇒
....(i)∵
∴ Equation (i) ⇒
⇒
Most Upvoted Answer
The normal Zeeman splitting in the mercury 4916 Å line in a magn...
Å spectral line can be calculated using the formula:
ΔE = μB × g × m
where ΔE is the energy splitting between the two Zeeman components, μB is the Bohr magneton constant, g is the Landé g-factor, and m is the magnetic quantum number.
For the mercury 4916 Å line, the g-factor is 1.5 and the magnetic quantum number can be either +1 or -1. Therefore, the energy splitting between the two Zeeman components is:
ΔE = μB × g × m = (9.274 × 10^-24 J/T) × 1.5 × 2 = 2.786 × 10^-23 J
This corresponds to a wavelength difference of:
Δλ = ΔE / hc = 2.786 × 10^-23 J / (6.626 × 10^-34 J s × 3 × 10^8 m/s) = 0.211 pm
Therefore, the normal Zeeman splitting in the mercury 4916 Å spectral line is 0.211 pm.
ΔE = μB × g × m
where ΔE is the energy splitting between the two Zeeman components, μB is the Bohr magneton constant, g is the Landé g-factor, and m is the magnetic quantum number.
For the mercury 4916 Å line, the g-factor is 1.5 and the magnetic quantum number can be either +1 or -1. Therefore, the energy splitting between the two Zeeman components is:
ΔE = μB × g × m = (9.274 × 10^-24 J/T) × 1.5 × 2 = 2.786 × 10^-23 J
This corresponds to a wavelength difference of:
Δλ = ΔE / hc = 2.786 × 10^-23 J / (6.626 × 10^-34 J s × 3 × 10^8 m/s) = 0.211 pm
Therefore, the normal Zeeman splitting in the mercury 4916 Å spectral line is 0.211 pm.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T isa)3.4 x 10-1Åb)1.7 x 10-2Åc)3.4 x10-2Åd)1.7 x 10-1ÅCorrect answer is option 'C'. Can you explain this answer?
Question Description
The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T isa)3.4 x 10-1Åb)1.7 x 10-2Åc)3.4 x10-2Åd)1.7 x 10-1ÅCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T isa)3.4 x 10-1Åb)1.7 x 10-2Åc)3.4 x10-2Åd)1.7 x 10-1ÅCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T isa)3.4 x 10-1Åb)1.7 x 10-2Åc)3.4 x10-2Åd)1.7 x 10-1ÅCorrect answer is option 'C'. Can you explain this answer?.
The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T isa)3.4 x 10-1Åb)1.7 x 10-2Åc)3.4 x10-2Åd)1.7 x 10-1ÅCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T isa)3.4 x 10-1Åb)1.7 x 10-2Åc)3.4 x10-2Åd)1.7 x 10-1ÅCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T isa)3.4 x 10-1Åb)1.7 x 10-2Åc)3.4 x10-2Åd)1.7 x 10-1ÅCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T isa)3.4 x 10-1Åb)1.7 x 10-2Åc)3.4 x10-2Åd)1.7 x 10-1ÅCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T isa)3.4 x 10-1Åb)1.7 x 10-2Åc)3.4 x10-2Åd)1.7 x 10-1ÅCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T isa)3.4 x 10-1Åb)1.7 x 10-2Åc)3.4 x10-2Åd)1.7 x 10-1ÅCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T isa)3.4 x 10-1Åb)1.7 x 10-2Åc)3.4 x10-2Åd)1.7 x 10-1ÅCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T isa)3.4 x 10-1Åb)1.7 x 10-2Åc)3.4 x10-2Åd)1.7 x 10-1ÅCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The normal Zeeman splitting in the mercury 4916 Å line in a magnetic field of 0.3 T isa)3.4 x 10-1Åb)1.7 x 10-2Åc)3.4 x10-2Åd)1.7 x 10-1ÅCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup