College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Question
Chapter 28, Problem 49P
(a)
To determine
The electron configuration of sulfur, given that its atomic number is
(b)
To determine
The reason for the fact that oxygen and sulfur are kept in the same group, given that oxygen has atomic number equal to
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a- Calculate the radius of the first orbital of the hydrogen atom according to the Bohr model? What is the ratio of the radius of the second orbital to the radius of
the first orbit of the same atom, and what is the speed of the electron in
each orbit?
tron fa
to another y
1. Question 1:
a. Draw a schematic of the hydrogen atom with the single proton in the nucleus, and the
n=1, n=2, n=3, and n=4 energy level options for the electron. Put the electron in the
lowest energy configuration.
b. Justify why this electron configuration represents the lowest energy state for the electron.
(hint: compare the energy of the electron in both cases and be mindful of negative signs)
3. Calculate the probability to find an electron in the following regions if the electron resides in a 2p:
orbital of a hydrogen atom. The "z" in the equation below is a Cartesian coordinate, not the atomic
number "2" which equals 1 for the hydrogen atom. Use whatever information below is more
convenient.
32 n až ao
13
I and Y(0,4) =:
24 až ao
Vzp, = R(r)Y(0, 4) where R(r) =
(a) Calculate the probability to find an electron in a 1.0 pm' cube centered at the Cartesian point (200, 0, 0).
(b) Calculate the probability to find an electron in a 1.0 pm' cube centered at the Cartesian point (0, 2ao, 0).
(c) Calculate the probability to find an electron in a 1.0 pm' cube centered at the Cartesian point (0, 0, 2a0).
(d) Draw a 2p, orbital in 3D space and include the points of (a), (b), and (c). Explain how your diagram
qualitatively supports the probabilities you calculated.
(e) Calculate the probability to find an electron in a 1.0 pm-thick shell at a radius 2ao from the nucleus.
Chapter 28 Solutions
College Physics
Ch. 28 - Prob. 1RQCh. 28 - Prob. 2RQCh. 28 - Prob. 3RQCh. 28 - Prob. 4RQCh. 28 - Prob. 5RQCh. 28 - Prob. 6RQCh. 28 - Prob. 7RQCh. 28 - Prob. 8RQCh. 28 - Prob. 1MCQCh. 28 - Prob. 2MCQ
Ch. 28 - Prob. 3MCQCh. 28 - Prob. 4MCQCh. 28 - Prob. 5MCQCh. 28 - Prob. 6MCQCh. 28 - Prob. 7MCQCh. 28 - Prob. 8MCQCh. 28 - Prob. 9MCQCh. 28 - Prob. 10MCQCh. 28 - Prob. 11MCQCh. 28 - Prob. 12MCQCh. 28 - Prob. 13CQCh. 28 - Prob. 14CQCh. 28 - Prob. 15CQCh. 28 - Prob. 16CQCh. 28 - Prob. 17CQCh. 28 - Prob. 18CQCh. 28 - Prob. 19CQCh. 28 - Prob. 20CQCh. 28 - Prob. 21CQCh. 28 - Prob. 22CQCh. 28 - Prob. 23CQCh. 28 - Prob. 24CQCh. 28 - Prob. 25CQCh. 28 - Prob. 26CQCh. 28 - Prob. 27CQCh. 28 - Prob. 28CQCh. 28 - Prob. 29CQCh. 28 - Prob. 30CQCh. 28 - Prob. 31CQCh. 28 - Prob. 32CQCh. 28 - Prob. 33CQCh. 28 - Prob. 34CQCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - 28.4 Lasers (a) A laser pulse emits 2.0 J of...Ch. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46PCh. 28 - Prob. 47PCh. 28 - Prob. 48PCh. 28 - Prob. 49PCh. 28 - Prob. 50PCh. 28 - Prob. 51PCh. 28 - Prob. 52PCh. 28 - Prob. 53PCh. 28 - Prob. 54PCh. 28 - Prob. 55PCh. 28 - Prob. 56PCh. 28 - Prob. 57PCh. 28 - Prob. 58PCh. 28 - Prob. 59GPCh. 28 - Prob. 60GPCh. 28 - Prob. 61GPCh. 28 - Prob. 62GPCh. 28 - Prob. 63GPCh. 28 - Prob. 64GPCh. 28 - Prob. 65GPCh. 28 - Prob. 66GPCh. 28 - Prob. 67GPCh. 28 - Prob. 68RPPCh. 28 - Prob. 69RPPCh. 28 - Prob. 70RPPCh. 28 - Prob. 71RPPCh. 28 - Prob. 72RPPCh. 28 - Prob. 73RPPCh. 28 - Prob. 74RPPCh. 28 - Prob. 75RPPCh. 28 - Prob. 76RPPCh. 28 - Prob. 77RPPCh. 28 - Prob. 78RPP
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- 1. Enumerate the microstates of p3. Determine the MS and ML values for each microstate. 2. On a table of possible MS and ML values, tally the microstates in no. 1 for a particular combination of MS and ML 3. Based on the table in no. 2, determine the atomic term symbols for the allowed atomic states of p3 resulting from the coupling of orbital and spin angular momentums. 4. Arrange the term symbols in no. 3 according to increasing energy.arrow_forwardc. n= 2, 1 = 0. 2. Calculate the maximum number of electrons that can occupy a shell with (a) n = 2, (b) n = 3, and (c) n as a variable. Note you are only looking at the orbitals with the specified n value, not those at lower energies.arrow_forward1. The atomic polarizability a of Potassium (K) is 43.4 x 10-30 m2, calculate the radius of K atom. 2. Consider an electric dipole which is free to rotate about a point P in the center. If the dipole is placed in a non-uniform electric field what would the dipole will experience? Give also schematic illustration what would dipole experiences. 3. Briefly explain the fundamental difference between D field and Electric Field E 4. Under what conditions is the potential energy of a dipole in electric field vanishes and lowest. 5. Prove that the polarization flux through a closed surface is directly proportional to the enclosed bound charge 6. In your own words, explain the right-hand rule. 7. If a charge of 2 Coulombs moves with a velocity of v = âê + 2ŷ – 4ê in a magnetic field defined by B = 2ô + ý + 2, find the magnetic force exerted on the charge. 8. Calculate the magnetic field in an Amperian loop of radius 3m carrying a current of 12 Amperes.arrow_forward
- 4. The energy of the atom is in part determined by the electrical potential energy of the electron interacting with the proton nucleus, and when the electron is close to the nucleus it is very tightly bound. That's why the energy is negative, and larger in magnitude the smaller n. What does this tell you about the size of the atom for large n? Explain your reasoning.arrow_forwardAn atom consists of 8 protons, 9 newtons and 8 electrons. What is it's atomic number? Select one: a. 9 b. 1 c. 3 d. 8 e. 17arrow_forward2 R --- n multiple choice question In the equation below, the Balmer series involves the emission lines (wavelengths) obtained when electrons go from any higher energy (excited) level to A The ground level (n = 1) B. The first atomic level (n = 2) C. The third atomic level (n = 3) D. The fourth atomic level (n = 4) Jump to E. The fifth atomic level (n = 4) 2 where, R = 1.097 x 107 m1 3 5arrow_forward
- (a) How many electrons can be in the n=4 shell? (b) What are its subshells, and how many electrons can be in each?arrow_forwardHow do the allowed orbits for electrons in atoms differ from the allowed orbits for planets around the sun? Explain how the correspondence principle applies here.arrow_forward(a) Calculate the magnitude of the angular momentum for an l=1 electron. (b) Compare your answer to the value Bohr proposed for the n=1 state.arrow_forward
- Problem 2. A quantum-mechanical treatment of the hydrogen atom shows that the electron in the atom p(r) = -pe-2¹/a can be treated as a smeared-out distribution of negative charge of the form Here, r represents the distance from the centre of the nucleus and a represents the first Bohr radius which has a numerical value of 0.0529 nm. Calculate the electric field at any distance r from the nucleus. 4+3) A. C. D. ke ke (1-1 (1-0²-)). (-)-(:)) -2e-2r/a [:)] ke 47-²arrow_forwardQuestion 2 A hydrogen atom is in the n = 55 state. (a) Calculate the radius of the orbit for this state. (b) Calculate the change in energy for a transition from the n = 55 state to the n = 56 state. (c) Calculate the wavelength of the photon that is absorbed in the transition in (b).arrow_forward8.- A hydrogen atom has an electron of mass me=9.11 X 10^-31kg, which rotates around core in a circular orbit of radius r=5.29 x ^-11m at a linear velocity of 2.19 x 10^-11m/s, calculates: a) The angular momentum of the electron. I hope you can help me:). Thank you. ☆arrow_forward
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