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The nuclear g-factors of 1H and 14N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the 14N nucleus would resonate at:
- a)1750 MHz
- b)700 MHz
- c)125 MHz
- d)50 MHz
Correct answer is option 'D'. Can you explain this answer?
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The nuclear g-factors of 1H and 14N are 5.6 and 0.40 respectively. If ...
Explanation:
Nuclear magnetic resonance (NMR) spectroscopy is a technique used to study the magnetic properties of atomic nuclei. In NMR, a sample is subjected to a strong magnetic field, and radio waves are used to excite the nuclei of the sample. The frequency of the radio waves required to excite the nuclei is dependent on the strength of the magnetic field and the nuclear g-factor.
Given that the nuclear g-factors of 1H and 14N are 5.6 and 0.40 respectively, and the magnetic field in the NMR spectrometer is set such that the proton resonates at 700 MHz.
To find the resonance frequency of the 14N nucleus, we can use the equation:
ν = γB
where ν is the resonance frequency, γ is the gyromagnetic ratio, and B is the magnetic field strength.
The gyromagnetic ratio is given by:
γ = gμN/2πh
where g is the nuclear g-factor, μN is the nuclear magneton, and h is Planck's constant.
Substituting the values for 1H and 14N, we get:
γ1H = (5.6 × 5.0508 × 10^-27)/(2π × 6.626 × 10^-34) = 26.752 MHz/T
γ14N = (0.40 × 3.1525 × 10^-26)/(2π × 6.626 × 10^-34) = 1.933 MHz/T
At 700 MHz, the magnetic field strength is:
B = ν/γ1H = (700 × 10^6)/(26.752 × 10^6) = 26.15 T
Using the resonance frequency equation, we can calculate the resonance frequency of the 14N nucleus:
ν14N = γ14N × B = 1.933 × 26.15 = 50.5 MHz
Therefore, the correct answer is option 'D' (50 MHz).
Nuclear magnetic resonance (NMR) spectroscopy is a technique used to study the magnetic properties of atomic nuclei. In NMR, a sample is subjected to a strong magnetic field, and radio waves are used to excite the nuclei of the sample. The frequency of the radio waves required to excite the nuclei is dependent on the strength of the magnetic field and the nuclear g-factor.
Given that the nuclear g-factors of 1H and 14N are 5.6 and 0.40 respectively, and the magnetic field in the NMR spectrometer is set such that the proton resonates at 700 MHz.
To find the resonance frequency of the 14N nucleus, we can use the equation:
ν = γB
where ν is the resonance frequency, γ is the gyromagnetic ratio, and B is the magnetic field strength.
The gyromagnetic ratio is given by:
γ = gμN/2πh
where g is the nuclear g-factor, μN is the nuclear magneton, and h is Planck's constant.
Substituting the values for 1H and 14N, we get:
γ1H = (5.6 × 5.0508 × 10^-27)/(2π × 6.626 × 10^-34) = 26.752 MHz/T
γ14N = (0.40 × 3.1525 × 10^-26)/(2π × 6.626 × 10^-34) = 1.933 MHz/T
At 700 MHz, the magnetic field strength is:
B = ν/γ1H = (700 × 10^6)/(26.752 × 10^6) = 26.15 T
Using the resonance frequency equation, we can calculate the resonance frequency of the 14N nucleus:
ν14N = γ14N × B = 1.933 × 26.15 = 50.5 MHz
Therefore, the correct answer is option 'D' (50 MHz).
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Community Answer
The nuclear g-factors of 1H and 14N are 5.6 and 0.40 respectively. If ...
Since hv=ugB
i.e. frequency is proportional to nuclear g factors
700/x=5.6/0.4
x=50
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The nuclear g-factors of 1H and 14N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the 14N nucleus would resonate at:a)1750 MHzb)700 MHzc)125 MHzd)50 MHzCorrect answer is option 'D'. Can you explain this answer?
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The nuclear g-factors of 1H and 14N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the 14N nucleus would resonate at:a)1750 MHzb)700 MHzc)125 MHzd)50 MHzCorrect answer is option 'D'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The nuclear g-factors of 1H and 14N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the 14N nucleus would resonate at:a)1750 MHzb)700 MHzc)125 MHzd)50 MHzCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The nuclear g-factors of 1H and 14N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the 14N nucleus would resonate at:a)1750 MHzb)700 MHzc)125 MHzd)50 MHzCorrect answer is option 'D'. Can you explain this answer?.
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