Chapter 21, Problem 33E

(a)

Interpretation Introduction

To determine: The authenticity of the given statement “If the half-life for $\text{A}$ is shorter than the half life for $\text{X}$ , $\text{A}$ has a larger decay rate constant”.

(b)

Interpretation Introduction

To determine: The authenticity of the given statement “If $\left(\text{X}\right)$ is “not radioactive,” its half-life is essentially zero”.

(c)

Interpretation Introduction

To determine: The authenticity for the given statement “If $\text{A}$ has a half-life of $10$ yr, and $\text{X}$ has a half-life of $10,000$ yr, $\text{A}$ would be a more suitable radioisotope to measure processes occurring on the $40$ -yr time scale: