Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 39, Problem 28P
To determine
The quantum numbers for each electron in the ground state of oxygen.
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(i) Using Bohr model for atomic hydrogen, obtain energy levels for the 2s, 3s and 3p states in the
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(ii) Now we do not include electron spin angular momentum, and just estimate an effect of a
magnetic field B on this transition (Normal Zeeman effect) with orbital angular momentum.
How many lines of optical transition do we expect ? What is the interval of the frequency in the
field B = 0.1 Tesla ?
(iii) In this situation, we do not expect transition from 3s to 2s state if the electron is initially in the
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Chapter 39 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 39.2 - Prob. 1AECh. 39.2 - Prob. 1BECh. 39.3 - Prob. 1CECh. 39.4 - Prob. 1DECh. 39.4 - Prob. 1EECh. 39.5 - Prob. 1FECh. 39.7 - Prob. 1GECh. 39 - Prob. 1QCh. 39 - Prob. 2QCh. 39 - Prob. 3Q
Ch. 39 - Prob. 4QCh. 39 - Prob. 5QCh. 39 - Prob. 6QCh. 39 - Prob. 7QCh. 39 - Prob. 8QCh. 39 - Prob. 9QCh. 39 - Prob. 10QCh. 39 - Prob. 11QCh. 39 - On what factors does the periodicity of the...Ch. 39 - Prob. 13QCh. 39 - Prob. 14QCh. 39 - Prob. 15QCh. 39 - Prob. 16QCh. 39 - Prob. 17QCh. 39 - Prob. 18QCh. 39 - Prob. 19QCh. 39 - Prob. 20QCh. 39 - Prob. 21QCh. 39 - Prob. 22QCh. 39 - Prob. 23QCh. 39 - Prob. 24QCh. 39 - Prob. 25QCh. 39 - Prob. 26QCh. 39 - Prob. 27QCh. 39 - Prob. 28QCh. 39 - Prob. 29QCh. 39 - Prob. 1PCh. 39 - Prob. 2PCh. 39 - Prob. 3PCh. 39 - Prob. 4PCh. 39 - Prob. 5PCh. 39 - Prob. 6PCh. 39 - Prob. 7PCh. 39 - Prob. 8PCh. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11PCh. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 14PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 21PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 28PCh. 39 - Prob. 29PCh. 39 - Prob. 30PCh. 39 - Prob. 31PCh. 39 - Prob. 32PCh. 39 - Prob. 33PCh. 39 - Prob. 34PCh. 39 - Prob. 35PCh. 39 - Prob. 36PCh. 39 - Prob. 37PCh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46PCh. 39 - Prob. 47PCh. 39 - Prob. 48PCh. 39 - Prob. 49PCh. 39 - Prob. 50PCh. 39 - Prob. 51PCh. 39 - Prob. 52PCh. 39 - Prob. 53PCh. 39 - Prob. 54PCh. 39 - Prob. 55PCh. 39 - Prob. 56PCh. 39 - Prob. 57PCh. 39 - Prob. 58PCh. 39 - Prob. 59PCh. 39 - Prob. 60PCh. 39 - Prob. 61GPCh. 39 - Prob. 62GPCh. 39 - Prob. 63GPCh. 39 - Prob. 64GPCh. 39 - Prob. 65GPCh. 39 - Prob. 66GPCh. 39 - Prob. 67GPCh. 39 - Prob. 68GPCh. 39 - Prob. 69GPCh. 39 - Prob. 70GPCh. 39 - Prob. 71GPCh. 39 - Prob. 72GPCh. 39 - Prob. 73GPCh. 39 - Prob. 74GPCh. 39 - Prob. 75GPCh. 39 - Prob. 76GPCh. 39 - Prob. 77GP
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- (II) For each of the following atomic transitions, state whether the transition is allowed or forbidden, and why: (a) 4p → 3p; (b) 3p → 1s; (c) 4d → 2d; (d) 5d → 3s; (e) 4s → 2p.arrow_forward(a) The Lyman series in hydrogen is the transition from energy levels n = 2, 3, 4, ... to the ground state n = 1. The energy levels are given by 13.60 eV En n- (i) What is the second longest wavelength in nm of the Lyman series? (ii) What is the series limit of the Lyman series? [1 eV = 1.602 x 1019 J, h = 6.626 × 10-34 J.s, c = 3 × 10° m.s] %3D Two emission lines have wavelengts A and + A2, respectively, where AA <<2. Show that the angular separation A0 in a grating spectrometer is given aproximately by (b) A0 = V(d/m)-2 where d is the grating constant and m is the order at which the lines are observed.arrow_forward(i) Using Bohr model for atomic hydrogen, obtain energy levels for the 2s, 3s and 3p states in theactual number with the unit of [eV]. We consider a transition that electron in the 3p state emitsa photon and make a transition to the 2s state. What is the frequency ν of this photon ?(ii) Now we do not include electron spin angular momentum, and just estimate an effect of amagnetic field B on this transition (Normal Zeeman effect) with orbital angular momentum.How many lines of optical transition do we expect ? What is the interval of the frequency in thefield B = 0.1 Tesla ?(iii) In this situation, we do not expect transition from 3s to 2s state if the electron is initially in the3s state, Explain the reason.(iv) We now consider an effect of magnetic field B to a free electron spin (not in Hydrogen, but afree electron). The magnetic field of B = 1.0 Tesla will split the energy level into two (Zeeman)levels. Obtain the level difference in the unit of [eV] from the value of magnetic…arrow_forward
- (i) Using Bohr model for atomic hydrogen, obtain energy levels for the 2s, 3s and 3p states in theactual number with the unit of [eV]. We consider a transition that electron in the 3p state emitsa photon and make a transition to the 2s state. What is the frequency ν of this photon ?(ii) Now we do not include electron spin angular momentum, and just estimate an effect of amagnetic field B on this transition (Normal Zeeman effect) with orbital angular momentum.How many lines of optical transition do we expect ? What is the interval of the frequency in thefield B = 0.1 Tesla ?(iii) In this situation, we do not expect transition from 3s to 2s state if the electron is initially in the3s state, Explain the reason. Solve (iii) only pleasearrow_forward(i) Using Bohr model for atomic hydrogen, obtain energy levels for the 2s, 3s and 3p states in theactual number with the unit of [eV]. We consider a transition that electron in the 3p state emitsa photon and make a transition to the 2s state. What is the frequency ν of this photon ?(ii) Now we do not include electron spin angular momentum, and just estimate an effect of amagnetic field B on this transition (Normal Zeeman effect) with orbital angular momentum.How many lines of optical transition do we expect ? What is the interval of the frequency in thefield B = 0.1 Tesla ? Only solve (ii) pleasearrow_forward(3) Calculate (x²) for in the quantum state {n = 2, l = 1, m = average can be expressed more simply as (2,1,1|x2|2,1,1) where the ket |n, l, m) defines the quantum state 1} for a hydrogen atom. Notice that this of a hydrogen atom, but, as done in class, the spin quantum number is not included.arrow_forward
- .55 The radial probability density for the ground state of the hydrogen atom is a maximum whenr = a, where a is the Bohr ra- dius. Show that the average value of r, defined as P(r) r dr, has the value 1.5a. In this expression for ravgs each value of P(r) is weighted with the value of r at which it occurs. Note that the average value of r is greater than the value of r for which P(r) is a maximum.arrow_forward(II) Is the use of nonrelativistic formulas justified in the Bohr atom? To check, calculate the electron's velocity, v, in terms of c, for the ground state of hydrogen, and then calculate V1 - v²/c².arrow_forwardHow many different possible states can there be for an atom with n =5 and I= 3?arrow_forward
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