8. The half-life for a radioactive isotope is 4.00 × 10⁹ yr. Determine the age (in years) of a rock specimen that contains sixty percent of its original number of radioactive atoms. years 50 ssi sf60 ss? 50 ssf609 ssf60 ss

8. The half-life for a radioactive isotope is 4.00 × 10⁹ yr. Determine the age (in years) of a rock specimen that contains sixty percent of its original number of radioactive atoms. years 50 ssi sf60 ss? 50 ssf609 ssf60 ss

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter30: Nuclear Physics

Section: Chapter Questions

Problem 17P

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Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.

Question

8. The half-life for a radioactive isotope is 4.00 × 10⁹ yr. Determine the age (in years) of a rock specimen that contains
sixty percent of its original number of radioactive atoms.
years
0 ssi
sf60 ss”
50 ssf6€
ssf60 sta
£60

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Suppose you have a pure radioactive material with a half-life of T1/2. You begin with N0 undecayed nuclei of the material at t = 0. At t=12T1/2, how many of the nuclei have decayed? (a) 14N0 (b) 12N0(C) 34N0 (d) 0.707N0 (e) 0.293N0
The mass (M) and the radius (r) of a nucleus can be expressed in terms of the mass number, A. (a) Show that the density of a nucleus is independent of A (b) Calculate the density of a gold (Au) nucleus. Compare your answer to that for iron (Fe).
A radioactive sample has an activity R. For each of the following changes, indicate whether the activity would increase, decrease. or remain unchanged. Indicate your answers with I, D, or U. (a) The number of radioactive nuclei in the sample is doubled. (b) The half-life of the radioactive nuclei is doubled. (c) The decay constant is doubled. (d) A time period equal to two half-lives is allowed to elapse.