Fundamentals of Physics
Fundamentals of Physics
10th Edition
ISBN: 9781118230718
Author: David Halliday
Publisher: Wiley, John & Sons, Incorporated
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Chapter 43, Problem 46P
To determine

To:

(a) show that the carbon cycle is exactly equivalent in its overall effects to the proton-proton cycle.

(b) verify that the two cycle have exactly the same Q value.

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Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bombardment of the upper atmosphere by cosmic rays converts nitrogen to a radioactive isotope of carbon, 14C, with a half-life of about 5730 years. Vegetation absorbs carbon dioxide through the atmosphere and animal life assimilates ¹4C through food chains. When a plant or animal dies, it stops replacing its carbon and the amount of 14C begins to decrease through radioactive decay. Therefore the level of radioactivity must also decay exponentially. A parchment fragment was discovered that had about 75% as much 14C radioactivity as does plant material on earth today. Estimate the age of the parchment. (Round your answer to the nearest whole number.) yr Need Help? Watch It Additional Materials THER
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c) The equation below describes the disintegration of a polonium nucleus into a lead nucleus and an alpha-particle. During the reaction energy Q is released. 210Po → He +²02Pb+Q 84 82 Calculate the loss of energy during the reaction. The masses in the atomic mass unit u are as follows: 210 206 Po= 209.98287 u, Pb = 205.97446 u and He = 4.002604 u. 84 82 You may assume that 1u is equivalent to 931 MeV. d) The lead nucleus recoils in the opposite direction to the emitted alpha particle conserving momentum. Hence calculate: i) The ratio of the recoil nucleus and alpha particle velocities ii) The kinetic energy distribution of these products.
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