Essentials University Physics, Volume 1 and 2 - With Modified MasteringPhysics Access
3rd Edition
ISBN: 9780134235448
Author: Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 39, Problem 51P
(a)
To determine
The size of a muonic atom.
(b)
To determine
The ground state energy of a muonic atom.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Consider a “muonic atom,” which consists of a proton and a negative muon, symbol -μ. Compute the ground-state energy following the methods used for the hydrogen atom.
Although muons have a half-life of 2.2 µs, physical chemists have been able to construct various muonic elements out of them. Replacing the electron with a muon in hydrogen, what is the Bohr radius (in m) of this muonic hydrogen in the ground state? (The mass of a muon is 1.88 ✕ 10−28 kg.)
Calculate the wavelength of a photon that has the same energy as the rest energy of an electron (0.511 MeV).
Chapter 39 Solutions
Essentials University Physics, Volume 1 and 2 - With Modified MasteringPhysics Access
Ch. 39 - Prob. 1FTDCh. 39 - Prob. 2FTDCh. 39 - Prob. 3FTDCh. 39 - Prob. 4FTDCh. 39 - Prob. 5FTDCh. 39 - Prob. 6FTDCh. 39 - Prob. 7FTDCh. 39 - Prob. 8FTDCh. 39 - Name the fundamental force involved in (a) binding...Ch. 39 - Prob. 10FTD
Ch. 39 - Prob. 11FTDCh. 39 - Prob. 12FTDCh. 39 - Prob. 13FTDCh. 39 - Prob. 14FTDCh. 39 - Describe the origin of the cosmic microwave...Ch. 39 - Prob. 16FTDCh. 39 - Prob. 17FTDCh. 39 - The radiation that we observe as the cosmic...Ch. 39 - Prob. 19FTDCh. 39 - Prob. 20FTDCh. 39 - Prob. 21ECh. 39 - Prob. 22ECh. 39 - Prob. 23ECh. 39 - Prob. 24ECh. 39 - Prob. 25ECh. 39 - Prob. 26ECh. 39 - Prob. 27ECh. 39 - Prob. 28ECh. 39 - Prob. 29ECh. 39 - Prob. 30ECh. 39 - Prob. 31ECh. 39 - Prob. 32ECh. 39 - Prob. 33ECh. 39 - Prob. 34ECh. 39 - Prob. 35ECh. 39 - Prob. 36ECh. 39 - Prob. 37ECh. 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. 61PPCh. 39 - Prob. 62PPCh. 39 - Prob. 63PPCh. 39 - Prob. 64PP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- If, in a hydrogen atom, an electron moves to an orbit with a larger radius, does the energy of the hydrogen atom increase or decrease?arrow_forwardWhat is the total energy (or mass) of the hydrogen atom in its ground state? a) 13.6 eV b) .511 MeV c) mpc^2 + mec^2 d) mpc^2 + mec^2 +.511 MeV e) mpc^2 + mec^2 +13.6 eV f) mpc^2 + mec^2 -13.6 eVarrow_forwardWhat is the wavelength of the most energetic photon that can be emitted from a muonic atom with Z=1?arrow_forward
- What is the mass of a particle that is traveling at a speed of 1.63e 5m/s and generates a wavelength of 2.75 e 12m ?arrow_forwardWhat is the rest energy of a neutron? (c = 2.9979 x 109 m/s, mn = 1.6749 x 10-27)arrow_forwardWhat is the wavelength, in nvm, of an electron traveling at 10% of the speed of light?arrow_forward
- How fast would a proton have to be traveling in order to have the same momentum as a photon with a frequency of 8.18 x 10^18 Hz?arrow_forwardFor a free relativistic quantum particle moving with speed u, the total energy of the particle is E = hf = hω = √p2c2 + m2c4 and the momentum is p = h/λ = hk = γmu. For the quantum wave representing the particle, the group speed is υg = dω/dk. Prove that the group speed of the wave is the same as the speed of the particle.arrow_forwardFind the minimum frequency a photon must have if it is to ionize the ground state of the hydrogen atomarrow_forward
- The muon is a heavier relative of the electron; it is unstable, as we’ve seen. The tauon is an even heavier relative of the muon and the electron, with a half-life of only 2.9 x 10-13 s. A tauon is moving through a detector at 0.999c. If the tauon lives for one half-life, how far will it travel through the detector before decaying?arrow_forwardA muon is a short-lived particle. Muons are created by cosmic rays; they can also be created by particle accelerators. The muon is similar to an electron but has a larger mass: mμ ≈ 200me. During its brief lifetime, a muon can combine with a proton to create a system that is similar to atomic hydrogen called a muonic hydrogen atom. The larger mass of the muon makes some of the assumptions of the Bohr hydrogen atom treatment less accurate, but using the mathematics of the Bohr hydrogen atom to analyze this system will give approximate results that allow us to understand how the changing mass affects the properties of the system. The larger mass of the muon complicates an accurate mathematical treatment similar to that of the Bohr hydrogen atom becauseA. The de Broglie wavelength of the muon is shorter than that of the electron.B. The relatively small difference in mass between the muon and the proton means that we can’t ignore the motion of the proton.C. The short lifetime of the muon…arrow_forwardWhat speed must a particle attain before its kinetic energy is double the value predicted by the nonrelativistic expression KE = 1/ 2mv2?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning