Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 38, Problem 12P
To determine
The proof that if an electron were present in the nucleus, the kinetic energy would be hundreds of
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Make the (incorrect) assumption that the nucleus is
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Chapter 38 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 38.3 - Prob. 1AECh. 38.8 - Prob. 1BECh. 38.8 - Prob. 1CECh. 38.9 - Prob. 1DECh. 38 - Prob. 1QCh. 38 - Prob. 2QCh. 38 - Prob. 3QCh. 38 - Prob. 4QCh. 38 - Would it ever be possible to balance a very sharp...Ch. 38 - Prob. 6Q
Ch. 38 - Prob. 7QCh. 38 - Prob. 8QCh. 38 - Prob. 9QCh. 38 - Prob. 10QCh. 38 - Prob. 11QCh. 38 - Prob. 12QCh. 38 - Prob. 13QCh. 38 - Prob. 14QCh. 38 - Prob. 15QCh. 38 - Prob. 16QCh. 38 - Prob. 17QCh. 38 - Prob. 18QCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Prob. 12PCh. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - Prob. 19PCh. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Prob. 27PCh. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Prob. 33PCh. 38 - Prob. 34PCh. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46GPCh. 38 - Prob. 47GPCh. 38 - Prob. 48GPCh. 38 - Prob. 49GPCh. 38 - Prob. 50GPCh. 38 - Prob. 51GPCh. 38 - Prob. 52GPCh. 38 - Prob. 53GPCh. 38 - Prob. 54GPCh. 38 - Prob. 55GPCh. 38 - Prob. 56GPCh. 38 - Prob. 57GPCh. 38 - Prob. 58GPCh. 38 - Prob. 59GP
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- By using the principle of accuracy, he proved the impossibility of the electron being inside the nucleus, given that the radius of the nucleus is 1 x 10-14m.arrow_forwardIf an electron is confined within the size of a nuclear radius, the uncertainty principle suggests that the minimum kinetic energy of the electron must have a minimum value of about 16 MeV. What does this indicate about the possibility of electrons existing within the nucleus?arrow_forwardThe wavefunction of an hydrogenic atom in its ground state is: 1 Z 3/2 Zr Φο a0 ao where Z is the atomic number and do the bohr radius. 1) Give an expression of a。 as a function of the reduced mass. What is the reduced mass of a tritium atom (you can assume that the mass of a neutron to be the same as the mass of a proton)? What is the reduced mass of ³He+? How do they compare to the mass of an electron? 2) What is the wavefunction of a tritium atom in its ground state? What is the wavefunction of ³He+ in its ground state?arrow_forward
- In a Rutherford scattering experiment, an a - particle (charge = 12e) heads directly toward a gold nucleus (charge = +79e). The alpha - particle had a kinetic energy of 5.0 MeV when very far (r -> infinity`) from the nucleus. Assuming the gold nucleus to be fixed in space, determine the distance of closest approach. Hint: Use conservation of energy with PE = ke q1q2/r.arrow_forwardK:43) Assuming only maximum energy transfers occur for 12C ions with electrons in a material, determine the number of collisions required for a 100 MeV 12C ion to go to energy below 10 MeV.arrow_forwardUse the below values for this problem. Please note that the mass for H is for the entire atom (proton & electron). Neutron: m,= 1.67493x1027 kg= 1.008665 u = 939.57 MeVIC H: my = 1.67353x10 27 kg = 1.007825 u = 938.78 MeVic 1u= 1.6605x10-27 kg = 931.5 MeVic? Consider the following decay: 211 At 207 Bi + a. 211 At has a mass of 210.9874963 u, 207 Bi has a mass of 206.981593 u, and a has a mass of 4.002603 u. 85 83 85 83 Determine the disintegration energy (Q-value) in MeV. Determine the binding energy (in MeV) for 211 At. 85 EB =arrow_forward
- In the planetary model of the atom where electrons orbit a centralized nucleus, what is the approximate ratio of the radius of the nucleus to that of the electron orbits?arrow_forwardFor a moment, assume that there are electrons in the nucleus. The radius of the nucleus is of the order of 1 fm. What would be the minimum momentum of these electrons? What would be the minimum kinetic energy of these electrons?arrow_forward4. Very cold neutrons can be generated that fall in the gravitational field and bounce back from a surface (see Nesvizhevsky V. V. et al., Nature, 415, 297 (2002)). Using the Bohr-Sommerfeld quantization rule (Eq.2.10 in the notes) show that the energy levels of a bouncing neutron are: E =mg (9n h /32 m² g) 1/3 %3D You'll need the identity: V1-x dx 2/3 %3D -24 The mass of the neutron is: m 1,675x102g; the gravitational acceleration:g 10 cm/sec?. Compute the first energy levels and compare them with the experiment reported in the Nature paper.arrow_forward
- . A general expression for the energy levels of one-electron atoms and ions is uk q°q² E, 2h'n? Here u is the reduced mass of the atom, given by u = m, m,/ (m, + m2), where m is the mass of the electron and m, is the mass of the nucleus; k, is the Coulomb constant; and q and 2 are the charges of the electron and the nucleus, respec- tively. The wavelength for the n= 3 to n = 2 transition of the hydrogen atom is 656.3 nm (visible red light). What are the wavelengths for this same transition in (a) positronium, which consists of an electron and a positron, and (b) singly ionized helium? Note: A positron is a positively charged electron.arrow_forwardWhat is the probability of finding an electron in the 1s orbital within 0.60 Å of the nucleus of 27 kg)? an He* ion (assume the mass of the He nucleus is 6.68-10-arrow_forward3) Assume that this room was filled with a gas of oxygen molecules O₂ in thermal equilibrium at 0 °C. There are 8 protons and 8 neutrons in the nucleus of an oxygen atom O. You may take the masses of the proton and the neutron to be the same, and ignore the mass of the electrons. 1 atm=1.01x105 N/m², h=1.05x10-34 J-s, mp=1.67x10-27 kg, ka=1.38x10-23 J/K. a) What would the (particle) number density, n, be according to the ideal gas law? b) Compare the number density with the quantum concentration, no, at the same temperature. Is the gas in the classical or quantum regime?arrow_forward
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