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Physics
Enhanced College Physics
315 SOLVED PROBLEMS
Question: 25.5
Hubble Power Goal Understand magnification in telescopes. Problem The Hubble telescope is 13.2 m long, but has a secondary mirror that increases its effective focal length to 57.8 m. (See Fig. 25.11.) The telescope doesn’t have an eyepiece, because various instruments, not a human eye, record the ...
Verified Answer:
Solve for
f_{e}
in Equation 25.8 an...
Question: A.1
Solve the following two simultaneous equations: (1) 5x + y = -8 (2) 2x – 2y = 4 ...
Verified Answer:
From (2), we find that x = y + 2 Substitution of ...
Question: 29.9
Synthetic Elements Goal Construct equations for a series of radioactive decays. Problem (a) A beam of neutrons is directed at a target of 92^238U . The reaction products are a gamma ray and another isotope. What is the isotope? (b) The isotope 92^239U is radioactive and undergoes beta decay. Write ...
Verified Answer:
(a) Identify the isotope produced by the reaction ...
Question: 29.8
The Discovery of the Neutron Goal Balance a nuclear reaction to determine an unknown decay product. Problem A nuclear reaction of significant note occurred in 1932 when Chadwick, in England, bombarded a beryllium target with alpha particles. Analysis of the experiment indicated that the following ...
Verified Answer:
Write an equation relating the atomic masses on ei...
Question: 29.7
Should We Report This to Homicide? Goal Apply the technique of carbon-14 dating. Problem A 50.0-g sample of carbon is taken from the pelvis bone of a skeleton and is found to have a carbon-14 decay rate of 200.0 decays/min. It is known that carbon from a living organism has a decay rate of 15.0 ...
Verified Answer:
Calculate the original activity
R_{0}[/late...
Question: 29.6
The Beta Decay of Carbon-14 Goal Calculate the energy released in a beta decay. Problem Find the energy liberated in the beta decay of 6^14C to 7^14N , as represented by Equation 29.13. That equation refers to nuclei, while Appendix B gives the masses of neutral atoms. Adding six electrons to both ...
Verified Answer:
Obtain the masses of
{ }_{6}^{14} \mathrm{C...
Question: 29.5
Decaying Radium Goal Calculate the energy released during an alpha decay. Problem We showed that the 88^226Ra nucleus undergoes alpha decay to 86^222Rn (Eq. 29.10). Calculate the amount of energy liberated in this decay. Take the mass of 88^226Ra to be 226.025 402 u, that of 86^222Rn to be ...
Verified Answer:
Compute the sum of the mass of the daughter partic...
Question: 29.4
Radon Gas Goal Calculate the number of nuclei after an arbitrary time and the time required for a given number of nuclei to decay. Problem Radon 86^222Rn is a radioactive gas that can be trapped in the basements of homes, and its presence in high concentrations is a known health hazard. Radon has a ...
Verified Answer:
(a) How many atoms will remain after 14.0 days hav...
Question: 29.3
The Activity of Radium Goal Calculate the activity of a radioactive substance at different times. Problem The half-life of the radioactive nucleus 88^226Ra is 1.6 ×10³ yr. If a sample initially contains 3.00 ×10^16 such nuclei, determine (a) the initial activity in curies, (b) the number of radium ...
Verified Answer:
(a) Determine the initial activity in curies. Conv...
Question: 29.2
The Binding Energy of the Deuteron Goal Calculate the binding energy of a nucleus. Problem The nucleus of the deuterium atom, called the deuteron, consists of a proton and a neutron. Calculate the deuteron’s binding energy in MeV, given that its atomic mass—that is, the mass of a deuterium nucleus ...
Verified Answer:
To find the binding energy, first sum the masses o...
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