1. The decay of radioactive substance is given by 7 N = Noe (1), where N is the number of atoms present at time t, No is the initial number of atoms and T is the exponential decay constant, which is related to the decay rate of the element. The N 1 half-life thalf is the time required for the number to atoms to decay by half ( = No 2 Solve for thalf starting from equation (1) in terms of T. Note: Use MathType to enter in T. Do not use the letter "T" from the keyboard. Don't forget the multiplication sign between variables. Use the asterisk symbol (*) for multiplication or the multiplication symbol in the math editor (orange box). thalf = 0.693 X√ S No, that's not the correct answer.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter30: Nuclear Physics
Section: Chapter Questions
Problem 34P
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THE ANSWER IS NOT 0.693

1. The decay of radioactive substance is given by
7
N = Noe (1),
where N is the number of atoms present at time t, No is the initial number of atoms and T
is the exponential decay constant, which is related to the decay rate of the element. The
N 1
half-life thalf is the time required for the number to atoms to decay by half (
=
No 2
Solve for thalf starting from equation (1) in terms of T.
Note: Use MathType to enter in T. Do not use the letter "T" from the keyboard. Don't
forget the multiplication sign between variables. Use the asterisk symbol (*) for
multiplication or the multiplication symbol in the math editor (orange box).
thalf = 0.693
X√ S
No, that's not the correct answer.
Transcribed Image Text:1. The decay of radioactive substance is given by 7 N = Noe (1), where N is the number of atoms present at time t, No is the initial number of atoms and T is the exponential decay constant, which is related to the decay rate of the element. The N 1 half-life thalf is the time required for the number to atoms to decay by half ( = No 2 Solve for thalf starting from equation (1) in terms of T. Note: Use MathType to enter in T. Do not use the letter "T" from the keyboard. Don't forget the multiplication sign between variables. Use the asterisk symbol (*) for multiplication or the multiplication symbol in the math editor (orange box). thalf = 0.693 X√ S No, that's not the correct answer.
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Follow-up Question
1. The decay of radioactive substance is given by
T
N = Nᵒe (1),
where N is the number of atoms present at time t, No is the initial number of atoms and 7 is the
exponential decay constant, which is related to the decay rate of the element. The half-life thalf is
N
the time required for the number to atoms to decay by half (-
No
=
0.693 x ✔ S
-1/2).
Solve for thalf starting from equation (1) in terms of T.
Note: Use MathType to enter in T. Do not use the letter "T" from the keyboard. Don't forget the
multiplication sign between variables. Use the asterisk symbol (*) for multiplication or the
multiplication symbol in the math editor (orange box).
thalf =
Transcribed Image Text:1. The decay of radioactive substance is given by T N = Nᵒe (1), where N is the number of atoms present at time t, No is the initial number of atoms and 7 is the exponential decay constant, which is related to the decay rate of the element. The half-life thalf is N the time required for the number to atoms to decay by half (- No = 0.693 x ✔ S -1/2). Solve for thalf starting from equation (1) in terms of T. Note: Use MathType to enter in T. Do not use the letter "T" from the keyboard. Don't forget the multiplication sign between variables. Use the asterisk symbol (*) for multiplication or the multiplication symbol in the math editor (orange box). thalf =
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