Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 36, Problem 14E
To determine
Verify thee numerical values of Bohr radius and ground state energy of hydrogen.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Question in photo
A hydrogen atom has a radius of 0.05 nm with a position accuracy of 1.0%. Calculate the uncertainty in the atom’s velocity. Use "E" format for scientific notation (i.e. for 1.23 x 10, write as 1.23E–9). Do not Include the units in your answer.
In the relativistic treatment of the hydrogen atom (excluding QED), the 251/2 and 2P1/2 levels are found to be degenerate. Which of the
following best describes why?
Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
a The degeneracy is a result of the rotational symmetry of the H-atom
b
d
e
The Darwin and spin-orbit terms exactly cancel for both levels
Each individual contribution (mass-velocity, Darwin and spin-orbit) to the splitting only depend on the total angular momentum
quantum number j
The mass-velocity and Darwin terms exactly cancel for both levels
The degeneracy is due to a subtle symmetry of a 1/r potential when n = 1 and would no longer be the case for other n.
Chapter 36 Solutions
Essential University Physics (3rd Edition)
Ch. 36.1 - Prob. 36.1GICh. 36.2 - Prob. 36.2GICh. 36.3 - Prob. 36.3GICh. 36.4 - Prob. 36.4GICh. 36.5 - Prob. 36.5GICh. 36 - Prob. 1FTDCh. 36 - Prob. 2FTDCh. 36 - Prob. 3FTDCh. 36 - Prob. 4FTDCh. 36 - Prob. 5FTD
Ch. 36 - Prob. 6FTDCh. 36 - Prob. 7FTDCh. 36 - Prob. 8FTDCh. 36 - Prob. 9FTDCh. 36 - Prob. 10FTDCh. 36 - Prob. 11FTDCh. 36 - Prob. 12FTDCh. 36 - What distinguishes a Bose-Einstein condensate from...Ch. 36 - Prob. 14ECh. 36 - Prob. 15ECh. 36 - Prob. 16ECh. 36 - Prob. 17ECh. 36 - Prob. 18ECh. 36 - Prob. 19ECh. 36 - Prob. 20ECh. 36 - Prob. 21ECh. 36 - Prob. 22ECh. 36 - Prob. 23ECh. 36 - Prob. 24ECh. 36 - Prob. 25ECh. 36 - Prob. 26ECh. 36 - Prob. 27ECh. 36 - Prob. 28ECh. 36 - Prob. 29ECh. 36 - Prob. 30ECh. 36 - Prob. 31ECh. 36 - Prob. 32ECh. 36 - Prob. 33ECh. 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. 75PCh. 36 - Prob. 76PPCh. 36 - Prob. 77PPCh. 36 - Prob. 78PPCh. 36 - Prob. 79PP
Knowledge Booster
Similar questions
- Problem 7: The electric potential near a hydrogen atom can be modeled as the equation to the right where ao is the Bohr radius and q is the charge on the central proton. V (r) exp(- 2r/a,)(1 +a/r) Randomized Variables m = 2 n = 3 Part (a) Find an expression for the 0-component of the electric field, Eg. Numeric : A numeric value is expected and not an expression. Eg = Part (b) Find an expression for the o-component (azimuthal) of the electric field, Eo Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, b, c, d, g, h, j, k, m, P, S, t Part (c) What is the change in the magnitude of the electric field (in N/C) if a test point moves from the position (x = m²ao, y = 0, z = 0) to position (x = n-ao, y = 0, z = 0). Numeric : A numeric value is expected and not an expression. ΔΕ Ξarrow_forwarda) Calculate the energy of the emissive transition with the lowest energy possible for the Lyman series, for a mole of hydrogen atoms. Express your answer in joules/mol. b) Is this transition in the visible spectral domain? If not, in which region is it located?arrow_forward(b) Prove that the energy of a trapped particle is quantized. Find the possible relations. Q#2 (a) Explain different types of spectral series of hydrogen atom. Find formula for wavelength of each series. (b) Find the longest wavelength present in the Balmer series of hydrogen, corresponding to the H. line. Q#3 (a) Explain Frank Hertz experiment in detail. Discuss its findings. (b) Explain the difference between a MASER and a LASER. Who was the inventor of MASER? Explain both phenomenon in detail.arrow_forward
- Problem #5: Calculate the equilibrium electron and hole densities for the following samples and determine if they are n-type, p-type or intrinsic: A) Si doped with 7x1017cm-³ Boron atoms. B) Si doped with 2x101$cm-³ phosphorous atoms and with 2x1017cm³ boron atoms. C) Si doped with 2x1018cm3 phosphorous atoms and with 2x1018cm-3 boron atoms.arrow_forward13.10 If the radial momentum p, and radial velocity a, for an electron in a central potential are defined by r.p-ih a.r Pr = Xr= " r r show that ihk Ba, (ap) = ar Pr + r B(o'. L + h) where k = ħarrow_forwardUsing the Bohr formulas, estimate the average distance from the nucleus for an electron in the innermost (n = 1) orbit in uranium (Z = 92). What is its kinetic energy and potential energy? Approximately how much energy would be required to remove it? (if possible with equations and a diagram, thanks)arrow_forward
- a) The element helium is named for the Sun because that is where it was first observed. What is the shortest wavelength that one would expect to observe from a singly ionized helium atom in the atmosphere of the Sun? b) Suppose light with a wavelength of 388.9 nm is observed from singly ionized helium. What are the initial and final values of the quantum number nn corresponding to this wavelength? Enter your answers numerically separated by a commaarrow_forwardA hydrogen atom has a radius of 0.05 nm with a position accuracy of 1.0%. Calculate the uncertainty in the atom’s velocity. Use "E" format for scientific notation (i.e. for 1.23x10, write as 1.23E-9).arrow_forwardCalculate the speed of the electron in a hydrogen atom in the state n = 5, in m/s. Express your answer as vx 10° m/s and type in just the value of v. Use three decimals in your answer.arrow_forward
- Needs Complete typed solution with 100 % accuracy.arrow_forwardPlz complete solution otherwise skip.arrow_forwardA)Calculate the frequency when an electron drops from n=5 to the n=4 level in a hydrogen atom. Round your answer to 4 significant digits. B)An electron in the hydrogen atom makes a transition from an energy state of principal quantum number ni to the n=2 state. If the photon emitted has a wavelength of 434nm, what is the value of ni? Round your answer to the nearest whole number.)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill