Explanation Half-life is the form of energy required for a quantity to reduce to half of its initial value. This is used to describe to know the time taken an unstable atom undergo decay, or how long stable atom survive, and radio activity. Write the expression for activity. R = R 0 e − λ t (I) Here, R is the activity, R 0 is the initial activity, λ is the disintegration constant, and t is the time. Write the expression for half-lives. T 1 2 = 0.693 λ (II) Here, T 1 2 is the half-life. Solve equation (II) for λ . λ = 0.693 T 1 2 (III) Conclusion: Substitute, 5.1 × 86400 s for T 1 2 in the equation (III). λ = 0.693 5.1 × 86400 s = 1.57 × 10 − 6 s − 1 Substitute, 1.57 × 10 − 6 s − 1 for λ , 1.000 μ Ci for R 0 , and 3.154 × 10 7 s for t in the equation (I), to find R

Principles of Physics: A Calculus-Based Text

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ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Question

Chapter 30.3, Problem 30.3QQ

To determine

The activity of the sample of 210Bi after one year from the first measurement.

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Principles of Physics: A Calculus-Based Text

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