PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
Author: Tipler
Publisher: MAC HIGHER
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Chapter 36, Problem 48P
(a)
To determine
The difference in energy between the two possible orientations of an electron in a magnetic field.
(b)
To determine
The wavelength of the photons needed for the electron spin resonance.
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In high static-magnetic field environment, such stellar interiors, the
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in addition to n. In this problem assume that the eigenvectors of Ĥo, β and Î₂ are
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O
Ĥ
Φ nem (r,0,0) = EnemÞµlm (1,0,0)
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E
'nlm
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O Î₂nem (r,0,0) = mħÞ,
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1
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Consider the n = 2 level. Calculate the energy eigenvalues for all 4 states. Draw a
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While studying the spectrumn of a gas doud in space, an astronomer magnifies a spectral line
that results from a transition from a p state to an s state, She finds that the line at 575.050
nm has actually split into three lines, with adjacent lines 4.70 x 10- nm apart, indicating
that the gas is in an external magnetic field. (Ignore effects due to electron spin.)
What is the strength of the external magnetic field?
O B=3.25 T
OB-2.98 T
O B=2.79 T
O B=3.05 T
OB=2.05 T
Show that the following 4 lines in the Lyman series can be predicted: 91.127, 97.202, 102.52, and 121.57 nm.
Chapter 36 Solutions
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
Ch. 36 - Prob. 1PCh. 36 - Prob. 2PCh. 36 - Prob. 3PCh. 36 - Prob. 4PCh. 36 - Prob. 5PCh. 36 - Prob. 6PCh. 36 - Prob. 7PCh. 36 - Prob. 8PCh. 36 - Prob. 9PCh. 36 - Prob. 10P
Ch. 36 - Prob. 11PCh. 36 - Prob. 12PCh. 36 - Prob. 13PCh. 36 - Prob. 14PCh. 36 - Prob. 15PCh. 36 - Prob. 16PCh. 36 - Prob. 17PCh. 36 - Prob. 18PCh. 36 - Prob. 19PCh. 36 - Prob. 20PCh. 36 - Prob. 21PCh. 36 - Prob. 22PCh. 36 - Prob. 23PCh. 36 - Prob. 24PCh. 36 - Prob. 25PCh. 36 - Prob. 26PCh. 36 - Prob. 27PCh. 36 - Prob. 28PCh. 36 - Prob. 29PCh. 36 - Prob. 30PCh. 36 - Prob. 31PCh. 36 - Prob. 32PCh. 36 - Prob. 33PCh. 36 - Prob. 34PCh. 36 - Prob. 35PCh. 36 - Prob. 36PCh. 36 - Prob. 37PCh. 36 - Prob. 38PCh. 36 - Prob. 39PCh. 36 - Prob. 40PCh. 36 - Prob. 41PCh. 36 - Prob. 42PCh. 36 - Prob. 43PCh. 36 - Prob. 44PCh. 36 - Prob. 45PCh. 36 - Prob. 46PCh. 36 - Prob. 47PCh. 36 - Prob. 48PCh. 36 - Prob. 49PCh. 36 - Prob. 50PCh. 36 - Prob. 51PCh. 36 - Prob. 52PCh. 36 - Prob. 53PCh. 36 - Prob. 54PCh. 36 - Prob. 55PCh. 36 - Prob. 56PCh. 36 - Prob. 57PCh. 36 - Prob. 58PCh. 36 - Prob. 59PCh. 36 - Prob. 60PCh. 36 - Prob. 61PCh. 36 - Prob. 62PCh. 36 - Prob. 63PCh. 36 - Prob. 64PCh. 36 - Prob. 65PCh. 36 - Prob. 66PCh. 36 - Prob. 67PCh. 36 - Prob. 68PCh. 36 - Prob. 69PCh. 36 - Prob. 70PCh. 36 - Prob. 71PCh. 36 - Prob. 72PCh. 36 - Prob. 73PCh. 36 - Prob. 74PCh. 36 - Prob. 75P
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- Comparisons of the energy differences between two states with that predicted by theory can test the theoretical model. For the case of the muon g-value, there's a small discrepancy between it and the Standard Model of particle physics. We can see atomic transitions in cesium in atomic clocks. We can measure the frequency by applying pulses at frequencies to observe the resonance (see the provided equation, Rabi's formula). Consider a spin-1/2 particle that precesses in a magnetic field in the z direction. The probability of the particle being spin up or spin down along z doesn’t vary with time. The states |+z> and |—z> are stationary states of the Hamiltonian H-hat = ω0 S-hatz. If we alter the Hamiltonian by applying in addition an oscillating magnetic field transverse to the z axis, we can induce transitions between these two states by properly adjusting the frequency of this transverse field. The energy difference E+—E_ = h-bar ω0 can then be measured with high accuracy. This…arrow_forwardFor a 5p electron in an external magnetic field of 4.70 ✕ 10−3 T, find the following. (a) the current (in A) associated with the orbital angular momentum (b) the maximum torque (in N · m)arrow_forwarda) Consider that the first line of the Balmer series of the 1H spectrum is due to the transitions between the states described by the 3p and 2s orbitals. This line suffers unfolding when the system is subject to an intense magnetic fieldexternal. Calculate the wave numbers (in cm-1 ) of the lines observed when a10,0000T magnetic field is applied. (hint: pay attention to the numberssignificant and approximations made in the calculation steps)arrow_forward
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