Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Question
Chapter 7, Problem 75E
(a)
To determine
To Calculate:Transition time from first excited state to ground state.
(b)
To determine
To Calculate:The wavelength of the emitted photon
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An atom in an excited state of 4.7 eV emits a photon and ends up in the ground state. The lifetime of the excited state is 1.0 x 10-13 s. (a) What is the energy uncertainty of the emitted photon? (b) What is the spectral line width (in wavelength) of the photon?
(b) An electron confined in a one dimensional box emits a 200 nm photon in a quantum jump from n =
2 to n = 1. What is the length of the box? The mass of an electron is 9.11 x 1031 kg.
(c) A proton confined in a one dimensional box emits a 2.0 MeV gamma-ray photon in a quantum jump
from n = 2 to n = 1. What is the length of the box? The mass of a proton is 1.67 x 1027 kg.
This question is for modern physics and wave and particle:
(a) To how small a region must an electron be confined for borderline relativistic speeds – say, 0.05c – to become reasonably likely? (Ans: 3.9×10^−12m ) (b) On the basis of this, would you expect relativistic effects to be prominent for hydrogen’s electron, which has an orbit radius near 10-10? For a lead atom “inner-shell” electron of orbit radius 10-12m?
Chapter 7 Solutions
Modern Physics
Ch. 7 - Prob. 1CQCh. 7 - Prob. 2CQCh. 7 - Prob. 3CQCh. 7 - Prob. 4CQCh. 7 - Prob. 5CQCh. 7 - Prob. 6CQCh. 7 - Prob. 7CQCh. 7 - Prob. 8CQCh. 7 - Prob. 9CQCh. 7 - What are the dimensions of the spherical harmonics...
Ch. 7 - Prob. 11CQCh. 7 - Prob. 12CQCh. 7 - Prob. 13CQCh. 7 - Prob. 14CQCh. 7 - Prob. 15CQCh. 7 - Prob. 16CQCh. 7 - Prob. 17ECh. 7 - Prob. 18ECh. 7 - Prob. 19ECh. 7 - Prob. 20ECh. 7 - Prob. 21ECh. 7 - Prob. 22ECh. 7 - Prob. 23ECh. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Prob. 26ECh. 7 - Prob. 27ECh. 7 - Show that of hydrogen’s spectral seriesLyman,...Ch. 7 - Prob. 29ECh. 7 - Prob. 30ECh. 7 - Prob. 31ECh. 7 - Prob. 32ECh. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35ECh. 7 - Prob. 36ECh. 7 - Prob. 37ECh. 7 - A particle orbiting due to an attractive central...Ch. 7 - Prob. 39ECh. 7 - Prob. 40ECh. 7 - Prob. 41ECh. 7 - Prob. 42ECh. 7 - Prob. 43ECh. 7 - How many different 3d states are there? What...Ch. 7 - Prob. 45ECh. 7 - Prob. 46ECh. 7 - Prob. 47ECh. 7 - Prob. 48ECh. 7 - Prob. 49ECh. 7 - Prob. 50ECh. 7 - Prob. 51ECh. 7 - Prob. 52ECh. 7 - Prob. 53ECh. 7 - Prob. 54ECh. 7 - For states where l=n1 , the radial probability...Ch. 7 - Prob. 56ECh. 7 - Prob. 57ECh. 7 - Prob. 58ECh. 7 - Prob. 59ECh. 7 - Prob. 60ECh. 7 - Prob. 61ECh. 7 - Prob. 62ECh. 7 - Prob. 63ECh. 7 - Prob. 64ECh. 7 - Prob. 65ECh. 7 - Prob. 66ECh. 7 - Prob. 67ECh. 7 - Prob. 68ECh. 7 - Prob. 69ECh. 7 - Prob. 70ECh. 7 - Prob. 71ECh. 7 - Prob. 72ECh. 7 - Prob. 73ECh. 7 - Prob. 74ECh. 7 - Prob. 75ECh. 7 - Prob. 76ECh. 7 - Prob. 77ECh. 7 - Prob. 78ECh. 7 - Prob. 79CECh. 7 - Prob. 80CECh. 7 - Prob. 81CECh. 7 - Prob. 83CECh. 7 - Prob. 84CECh. 7 - Prob. 85CECh. 7 - Prob. 86CECh. 7 - Prob. 87CECh. 7 - Prob. 89CE
Knowledge Booster
Similar questions
- Consider photons at temperature T = 300K in a cubic box of volume 1 m' with periodic boundary conditions. a) Find the total number of photons in the lowest orbital state. What is the total energy of these photons? Hint: The 1-particle energy of photons is ɛ(k,s)=ħck = hc , independent of polarization s. Consider the Bose-Einstein distribution function (with u= 0) for the lowest-energy orbital states 2л k, = (1,0,0), k, =(0,1,0), k, =(0,0,1). Find the total number of photons that occupy L L L these states, taking into account that each of the orbital states has 2 polarizations s. b) Find the number of photons in a single orbital state with wavelength 2 = 5000 Å. What is the total energy of these photons?arrow_forward(a) An excited atom gives off a photon to reach its ground state. It is estimated that the average time of 10-8 sec separates the excitation of atom and consequent emission of photon. Estimate the inherent uncertainty in frequency of the emitted photon.(b) If this emitted photon is from an hydrogen atom in hydrogen atom gas, at equilibrium, at 300 K, what is the Doppler shift in frequency?(c) Compare uncertainty in (a) with the shift in (b).arrow_forwardIn collection of microscopic oscillators, the temperature is high enough that the ground state and the first two excited states are occupied. Which stands to all the possible energies of the photons emitted by these oscillators: 0.5hoo, ħwo O hwo, 2ħwo O 0.5hwo, 2ħwo Find the values of all the possible energies of photons emitted by such oscillators in eV if the lowest energy photon observed in the vibrational spectrum is 0.039 eV. Possible energies are : eV, eVarrow_forward
- Consider an electron confined to a box of length L = 436 pm. (a) A transition between energy levels can be induced by absorption of light whose photon energy matches the energy difference between the levels. Find the energy difference between the levels corresponding to n = 4 and n = 5 of this same box, and compute the wavelength of light (in m) that would cause a transition between them. What portion of the electromagnetic spectrum is this light? (b) For another box, suppose that this same transition (n = 4 → 5) was observed at a wavelength of 232 nm. How long is this box in pm?arrow_forwardIn class, we derived the formula for the power radiated by an accelerating charge. The classical model of the Hydrogen atom treats the electron as a point charge moving in a circular orbit about the inertial proton. In its ground state, the kinetic energy of this electron is 13.6 eV, and it’s radius is equal to the Bohr radius a0 = 0.0529 nm. If this electron behaves classically, what fraction of its energy does it radiate per orbit? Per second?arrow_forward(a) If the average frequency emitted by a 120 W light bulb is 5.00 * 10^14 Hz and 10.0% of the input power is emitted as visible light, approximately how many visible-light photons are emitted per second? (b) At what distance would this correspond to 1.00 * 10^11 visible-light photons per cm2 per second if the light is emitted uniformly in all directions?arrow_forward
- The normalized wavefunction of an electron in a linear accelerator is ψ = (cos χ)eikx + (sin χ)e–ikx, where χ (chi) is a parameter. (a) What is the probability that the electron will be found with a linear momentum (a) +kħ, (b) −kħ? (c) What form would the wavefunction have if it were 90 per cent certain that the electron had linear momentum +kħ? (d) Evaluate the kinetic energy of the electron.arrow_forward(a) Calculate the minimum uncertainty in momentum (expressed in MeV/?) for a proton confined to a nucleus of diameter 5.0 fm. (1 fm = 1 * 10-15 m). (b) A proton (rest mass 938.3 MeV/?2) in a nucleus of radius 6.0 fm has a kinetic energy of 5.6 MeV. If the proton were represented by a de Broglie wave, how many wavelengths could fit across the diameter of that nucleus? (1 fm = 1 * 10-15 m). (c) Electrons (rest mass 0.51 MeV/?2) moving with a speed of 1.60 × 105 m/s are described by a wave packet of width 2.65 nm. What range of values will most likely result from a measurement of the speed of the electrons? Please use:ℎ? 1240 eVnmℏ? 197 eVnmarrow_forwardA certain atom remains in an excited state for about 51.7 ns before emitting a 2.15-eV photon and transitioning to the ground state. What is the uncertainty in the frequency of the photon in Hz?arrow_forward
- (a) A γ -ray photon has a momentum of 8.00×10−21 kg ⋅ m/s . What is its wavelength? (b) Calculate its energy in MeV.arrow_forward(a) An electron and a 0.0400 kg bullet each have a velocity of magnitude 510 m/s, accurate to within 0.0100%. Within what lower limit could we determine the position of each object along the direction of the velocity? (Give the lower limit for the electron in mm and that for the bullet in m.) for the electron 0.01136 for the bullet 2.585e-34 mm m (b) What If? Within what lower limit could we determine the position of each object along the direction of the velocity if the electron and the bullet were both relativistic, traveling at 0.450c measured with the same accuracy? (Give the lower limit for the electron in nm and that for the bullet in m.) for the electron for the bullet 4.2899 X nm 9.76445e-42 X marrow_forward. Find the momentum of a photon in eV/c and in kg·m/s if the wavelength is (a) 400 nm, (b) 1 Å = 0.1 nm, (c) 3 cm, and (d) 2 nm.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning