University Physics Volume 3
University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Chapter 10, Problem 84CP

This problem demonstrates that the binding energy of the electron in the ground state of a hydrogen atom is much smaller than the rest mass energies of the proton and electron.

  1. Calculate the mass equivalent in u of the 13.6-eV binding energy of an electron in a hydrogen atom, and compare this with the known mass of the hydrogen atom.
  2. Subtract the known mass of the proton from the known mass of the hydrogen atom.

  • Take the ratio of the binding energy of the electron (13.6 eV) to the energy equivalent of the electron’s mass (0.511 MeV).
  • Discuss how your answers confirm the stated purpose of this problem.
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    An Erbium-166 nucleus contains 68 protons. The atomic mass of a neutral Erbium-166 atom is 165.930u, where u = 931.5 MeV/c². In this question you may use that the mass of a proton is 938.27 MeV/c², the mass of a neutron is 939.57 MeV/e² and the mass of an electron is 0.511 MeV/c². i. Calculate the nuclear binding energy per nucleon, giving your answer in units of MeV. ii. Electrons with an energy of 0.5 GeV are scattered off the nucleus. Estimate the scattering angle of the first minimum in the resulting diffraction pattern. iii. Briefly comment on whether or not you expect this nucleus to be spherical, and what consequence this has for excited states of the nucleus in the collective model.
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    Chapter 10 Solutions

    University Physics Volume 3

    Ch. 10 - Why is the number of neutrons greater than the...Ch. 10 - To obtain the most precise value of the binding...Ch. 10 - How is the initial activity rate of a radioactive...Ch. 10 - For the carbon dating described in this chapter,...Ch. 10 - What is the key difference and the key similarity...Ch. 10 - What is the difference between rays and...Ch. 10 - What characteristics of radioactivity show it to...Ch. 10 - Consider Figure 10.12. If the magnetic field is...Ch. 10 - Why is Earth’s core molten?Ch. 10 - Should an atomic bomb really be called nuclear...Ch. 10 - Why does a chain reaction occur dining a fission...Ch. 10 - In what way is ail atomic nucleus like a liquid...Ch. 10 - Explain the difference between nuclear fission and...Ch. 10 - Why does the fusion of light nuclei into heavier...Ch. 10 - IB. Wliv is a PET scan more accurate than a SPECT...Ch. 10 - Isotopes that emit a radiation are relatively safe...Ch. 10 - Ionizing radiation can impair the ability of a...Ch. 10 - Find the atomic numbers, mass numbers, and neutron...Ch. 10 - Silver has two stable isotopes. The nucleus,...Ch. 10 - The mass (M) and the radius (r) of a nucleus can...Ch. 10 - A particle has a mass equal to 10 u. If this mass...Ch. 10 - Find the length of a side of a cube having a mass...Ch. 10 - The detail that you can observe using a probe is...Ch. 10 - How much energy would be released if six hydrogen...Ch. 10 - Find the mass defect and the binding energy for...Ch. 10 - 56 Fe is among the most tightly bound of all...Ch. 10 - is the heaviest stable nuclide, and its BEN is low...Ch. 10 - (a) Calculate BEN for 235U, the rarer of the two...Ch. 10 - The fact that BEN peaks at roughly A = 60 implies...Ch. 10 - A sample of radioactive material is obtained from...Ch. 10 - Show that: T=1.Ch. 10 - The half-life of strondum-91, 3891Sris 9.70 h....Ch. 10 - A sample of pure carbon-14 ( T1/2=5730y ) has an...Ch. 10 - A radioactive sample initially contains 2.40102...Ch. 10 - An old campfire is uncovered during an...Ch. 10 - Calculate the activity R , in curies of 1.00 g of...Ch. 10 - Natural uranium consists of 235U(percent abundance...Ch. 10 - World War II aircraft bad instruments with glowing...Ch. 10 - , The 210Po source used in a physics laboratory is...Ch. 10 - Armor-piercing shells with depleted uranium cores...Ch. 10 - undergoes alpha decay, (a) Write the reaction...Ch. 10 - (a) Calculate the energy released in the a decay...Ch. 10 - The particles emitted in the decay of 3H (tritium)...Ch. 10 - (a) Write the complete decay equation for 90Sr, a...Ch. 10 - Write a nuclear decay reaction that produces the...Ch. 10 - Write the complete decay equation in the complete...Ch. 10 - If a 1.50-cm-thick piece of lead can absorb 90.0%...Ch. 10 - An electron can interact with a nucleus through...Ch. 10 - (a) Write the complete reaction equation for...Ch. 10 - A rare decay mode has been observed in which...Ch. 10 - A large power reactor that has been in operation...Ch. 10 - (a) Calculate the energy released in the neutron-...Ch. 10 - (a) Calculate the energy released in the neutron-...Ch. 10 - The electrical power output of a large nuclear...Ch. 10 - Find the total energy released if 1.00 kg of...Ch. 10 - Verify that the total number of nucleons, and...Ch. 10 - Calculate the energy output in each of the fusion...Ch. 10 - Show that the total energy released in the proton-...Ch. 10 - Two fusion reactions mentioned in the text are...Ch. 10 - The power output of the Sun is 41026 W. (a) If 90%...Ch. 10 - Another set of reactions that fuses hydrogen into...Ch. 10 - (a) Calculate the energy released by the fusion of...Ch. 10 - What is the dose in mSv for: (a) a 0.1-Gy X-ray?...Ch. 10 - Find the radiation dose in Gy for: (a) A 10-mSv...Ch. 10 - Find the mass of 239Puthat has an activity of...Ch. 10 - In the 19805, the term picowave was used to...Ch. 10 - What is the dose in Sv in a cancer treatment that...Ch. 10 - One half the rays from 99mTcare absorbed by a...Ch. 10 - How many Gy of exposure is needed to give a...Ch. 10 - A plumber at a nuclear power plant receives a...Ch. 10 - Calculate the dose in rem/y for the lungs of a...Ch. 10 - The wiki-phony site states that the atomic mass of...Ch. 10 - A particle physicist discovers a neutral particle...Ch. 10 - A nuclear physicist finds 1.0of 236Uin a piece of...Ch. 10 - A group of scientists use carbon dating to date a...Ch. 10 - According to your lab partner, a 2.00-cm-thick...Ch. 10 - In the science section of the newspaper, an...Ch. 10 - The ceramic glaze on a red-orange “Fiestaware”...Ch. 10 - Large amounts of depleted uranium (238U)are...Ch. 10 - A piece of wood from an ancient Egyptian tomb is...Ch. 10 - This problem demonstrates that the binding energy...Ch. 10 - The Galileo space probe was launched on its long...Ch. 10 - Find the energy emitted in the decay of 60Co .Ch. 10 - Engineers are frequently called on to inspect and,...Ch. 10 - If two nuclei are to fuse in a nuclear reaction,...Ch. 10 - For the reaction, sw n+3He4He+ , find the amount...Ch. 10 - Engineers are frequently called on to inspect and,...
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