subject
Physics, 05.07.2019 04:30 chels6058

Aproton in a magnetic field has two spin states, one aligned with the field b and the other anti-aligned. we will refer to them as ”down” and ”up”, respectively. the energies of these spin states are: edown= −hγb/2 and eup=hγb/2, where γ= 26.8×107(tesla sec)−1.
(a) what are the probabilities pup and pdown of observing the proton in its up and down states? write your answer in terms of γ,b, temperature t, and fundamental constants. (hint: recall thatp(ν) =c×exp(−βeν), where c is a constant that ensures that probabilities add up to one. you will need to determine this normalization constant.)
(b) calculate the energy difference ∆e between up and down states, in units of kj/mol, for a field strength of 5 tesla. based on the magnitude of ∆e compared to kbt, comment on your expectation for the probabilities pup and pdown at room temperature.
(c) calculate numerical values of pup and pdown for b = 5 tesla and t = 298 k.
(d) for what field strength b would the up spin state be twice as probable as the down state (pdown = 2pup) at room temperature?
(e) nmr measurements rely on population differences between nuclear spin states. given that the
largest magnetic fields ever generated in a laboratory are on the order of 100 tesla, comment on
the sensitivity challenges inherent in nmr spectroscopy.

ansver
Answers: 3

Another question on Physics

question
Physics, 22.06.2019 12:30
What would be the strength of earth's gravitational field at a point where an 80.0 kg astronaut would experience a 80% reduction in weight
Answers: 3
question
Physics, 22.06.2019 14:40
The experiment done in lab is repeated, using a ball that has unknown mass m. you plot your data in the form of f 2 versus m/l, with f in rev/s, m in kg, and l in m. your data falls close to a straight line that has slope 3.19 m/(kg · s2). use g = 9.80 m/s2 and calculate the mass m of the ball.
Answers: 1
question
Physics, 22.06.2019 18:10
Of is j/kg·k. if a 2.6 kg of isk to k,is ?
Answers: 1
question
Physics, 22.06.2019 18:10
Which of the following statement is false
Answers: 2
You know the right answer?
Aproton in a magnetic field has two spin states, one aligned with the field b and the other anti-ali...
Questions
question
English, 13.07.2019 21:20