A sample of radioactive material is obtained from a very old rock. The activity of the rock over a period of time is monitored, and lnA is plotted as a function of t such as in Figure (b). The slope of the line has a value of -6.1 ×10^−8y^−1. FInd the half-life in years. Problem 6: The equation for the activity of aradioactive substance as a function of time is given byA = Age-t,and is plotted in Figure (a). If we take the natural log of bothsides of this equation, the result is the following:In A = -At + In Ao-Notice that our equation now has the form of an equation of aline, y = mx + b, with y = In A and a slope of A. This lineis plotted in Figure (b).AA = Age at-λt(a)In A(b)slope = -

Given that: The equation of the activity of a radioactivity substance is A=A0e-λt The slope of the…

A sample of radioactive material is obtained from a very old rock. The activity of the rock over a period of time is monitored, and lnA is plotted as a function of t such as in Figure (b). The slope of the line has a value of -6.1 ×10^−8y^−1. FInd the half-life in years.

A sample of radioactive material is obtained from a very old rock. The activity of the rock over a period of time is monitored, and lnA is plotted as a function of t such as in Figure (b). The slope of the line has a value of -6.1 ×10^−8y^−1. FInd the half-life in years.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 75P: (a) A person’s blood pressure is measured to be 1202mmHg . What is its percent uncertainty? (b)...

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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

FInd the half-life in years.

Problem 6: The equation for the activity of a
radioactive substance as a function of time is given by
A = Age-t,
and is plotted in Figure (a). If we take the natural log of both
sides of this equation, the result is the following:
In A = -At + In Ao-
Notice that our equation now has the form of an equation of a
line, y = mx + b, with y = In A and a slope of A. This line
is plotted in Figure (b).
A
A = Age at
-λt
(a)
In A
(b)
slope = -

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