Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 3, Problem 6CQ
To determine
Whether the emission of a photon by an isolated electron is possible or not.
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Doubly ionized lithium (Li++) emits a photon after transitioning from the n = 3 excited state directly back to the ground state.
A) Calculate the mass of the lithium ion. (Atomic mass = 6.015123 u; electron mass = 5.485799 x 10-4 u)
Express your answer in unified atomic mass units and to four significant figures.
B) After the emission of the photon, the ion recoils. Calculate the recoil speed.
Express your answer to three significant figures in meters/second.
2
In solid helium the spacing between atoms is about 3Å . Helium contains 2 protons and 2 neutrons, so the mass of a helium atom is 6.6×10−27 kg. What is the smallest possible energy of a helium atom in solid helium? What temperature (in Kelvin) does this energy correspond with? (Boltzmann's constant is kb=1.38×10−23 J/K
Chapter 3 Solutions
Modern Physics
Ch. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - Prob. 7CQCh. 3 - A ball rebounds elastically from the floor. What...Ch. 3 - Prob. 9CQCh. 3 - Prob. 10CQ
Ch. 3 - Prob. 11ECh. 3 - Prob. 12ECh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - What is the stopping potential when 250 nm...Ch. 3 - Prob. 19ECh. 3 - Prob. 20ECh. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Prob. 25ECh. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Prob. 29ECh. 3 - Prob. 30ECh. 3 - Prob. 31ECh. 3 - Prob. 32ECh. 3 - Prob. 33ECh. 3 - Prob. 34ECh. 3 - Prob. 35ECh. 3 - Prob. 36ECh. 3 - Verify that the Chapter 2 formula KE=mc2 applies...Ch. 3 - Prob. 38ECh. 3 - Prob. 39ECh. 3 - Prob. 40ECh. 3 - Prob. 41ECh. 3 - Prob. 42ECh. 3 - Prob. 43ECh. 3 - Prob. 44ECh. 3 - Prob. 45ECh. 3 - Prob. 46ECh. 3 - Prob. 47CECh. 3 - Prob. 49CECh. 3 - Prob. 50CECh. 3 - Prob. 51CECh. 3 - Prob. 52CECh. 3 - Prob. 53CECh. 3 - Prob. 54CECh. 3 - Prob. 55CE
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- The gravitational attraction between electron and proton in a hydrogen atom is weaker than the coulomb attraction by a factor of about 10-40. An alternative way of looking at this fact is to estimate the radius of the first Bohr orbit of a hydrogen atom if the electron and proton were bound by gravitational attraction. You will find the answer interesting. A B C D The radius of the first Bohr orbit and the estimated size of the whole universe is same. The radius of the first Bohr orbit is much greater than the estimated size of the whole universe. The radius of the first Bohr orbit is much smaller than the estimated size of the whole universe. None of the above.arrow_forwardAlthough 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.)arrow_forwardThe wave function for a Hydrogen atom, at time t = 0 is: = V(21,0,0) + 12,1,0) + v?[2, 1, 1) + v3 |2,1, –1). |亚) considering that the notation is n,l, mi). If spin and radioactive transitions are ignored. a) Calculate the expectation value. b) Calculate the wave function at arbitrary time t. c) What is the probability of finding the system in the state with I = 1 and m = 1, as a function of time? d) What is the probability of finding the electron at a distance of 10 ^ -10cm. of the proton? (at t = 0).arrow_forward
- Gold has a work function, Φ, of 5.47 ev. If a sample of gold is bombarded with 175 nm photons, what will be the velocity (in m/s) of the photo-ejected electrons? (1 eV = 1.60 × 10⁻¹⁹ J, the mass of an electron is 9.109 x 10⁻³¹ kg, and Planck's constant is 6.626 x 10⁻³⁴ Js.)arrow_forwardYou are studying a very distant quasar and are trying to determine how far away it is. The quasar is a very bright point-like light source, and there is only one relevant distance measuring technique applicable to objects at such a great distance. From a spectra of the quasar, you observe that it's Lyman alpha emission line (which would be at 121.6 nm in a laboratory sample of Hydrogen) is at 130 nm. What is the distance to this quasar in units of Mpc. [Hint: Think about what distance measuring technique we use for the very farthest objects in the universe. You will need to look up a special constant (who's value is uncertain) to complete this problem. The answer accounts for the possible range of uncertainty in the quantity you need to look up.]arrow_forward7)Solve the sub-part (a) only.arrow_forward
- The energy of an electron in the nth orbit in an atom of atomic number Z is: Select the correct answer choice: (a) Directly proportional to orbital and to atomic number Z. (b) Inversely proportional to orbital n and to atomic number Z². (c) Inversely proportional to orbital n² and to atomic number Z². (d) Inversely proportional to orbital and to directly proportional to atomic number Z²arrow_forwardTOPIC: ATOMIC PHYSICS Calculate the recoil energy in eV and the velocity of a hydrogen atom making a transition from state n = 4 to state n = 1 by emitting a photon. Use conservation of momentumarrow_forwardA 57Fe nucleus at rest emits a 14.0-keV photon. Use conservation of energy and momentum to find the kinetic energy of the recoiling nucleus in electron volts. Use Mc2 = 8.60 × 10-9 J for the final state of the 57Fe nucleus.arrow_forward
- 51. (a) Calculate the wavelength (in nm) of light with energy 1.61×10−20 J per photon. (b) For light of wavelength 440 nm, calculate the number of photons per joule. (c) Determine the binding energy (in eV) of a metal if the kinetic energy possessed by an ejected electron (using one of the photons with wavelength 440 nm) is 2.53×10−19 J.arrow_forwardQuestion 2: Balmer Series of Hydrogen (a) Calculate the minimum and maximum wavelengths in the Balmer series of hydrogen. (b) The Balmer series of hydrogen has an emission line with a wavelength of 486.1 nm. Estimate the wavelength of the corresponding emission line for the case of muonic hydrogen (where the electron in the hydrogen atom is replaced by a muon which is 207 times heavier than an electron).arrow_forwardA proton captures a µ-[A negative muon is unstable elementary particle] to form a muonic atom of radius (O.285 pm) of the first Bohr orbit of this atom. The mass of the muonic atom [in MeV] is.... * O 94.45 O 944.5 O 93.45 9.44arrow_forward
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