A sample initially consists of No radioactive atoms of a single isotope. After a time, t, the number N of radioactive atoms of the isotope is given by: N=Noe-λt (i.) Sketch a graph of this equation and show on the graph the time equal to the half-life of the sample, T1/2. (ii.) Explain what is meant by disintegration rate of a sample and represent this on the graph at zero time and at time, T1/2. State the ratio of these two disintegration rates. (iii.) Explain the physical significance of the constant λ in the equation above

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter13: Nuclear Structure
Section: Chapter Questions
Problem 39P
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A sample initially consists of No radioactive atoms of a single isotope. After a time, t, the number N of radioactive atoms of the isotope is given by:

N=Noe-λt


(i.) Sketch a graph of this equation and show on the graph the time equal to the half-life of the sample, T1/2.

(ii.) Explain what is meant by disintegration rate of a sample and represent this on the graph at zero time and at time, T1/2. State the ratio of these two disintegration rates.

(iii.) Explain the physical significance of the constant λ in the equation above

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