Radioactive Decay and Half-Life Quiz
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Questions and Answers

What is the correct formula for calculating the physical half-life of a radioactive substance?

  • $T_{1/2} = rac{ln 2}{ rac{1}{ au}}$ (correct)
  • $T_{1/2} = rac{1}{ rac{ln 2}{ au}}$
  • $T_{1/2} = rac{1}{ au}$
  • $T_{1/2} = rac{ln 2}{ au}$

Which of the following best describes the biological half-life?

  • The time it takes for half of a substance to decay spontaneously.
  • The average time a radioactive isotope exists before its decay.
  • The period in which a substance loses half its quantity due to natural processes in the body. (correct)
  • A constant associated with the rate of radioactive decay.

In the decay equation $N_t = N_0 e^{-eta t}$, what does $N_t$ represent?

  • The decay constant for the isotopes.
  • The total number of isotopes after time t.
  • The initial number of undecayed nuclei.
  • The number of undecayed nuclei at time t. (correct)

Which type of radioactive decay leads to the formation of lead isotopes as the final product?

<p>Heavy decay processes. (B)</p> Signup and view all the answers

What is the mean life decay of a radioactive isotope, and how is it calculated?

<p>Both B and C are correct. (D)</p> Signup and view all the answers

Flashcards

Radioactive isotopes

Unstable atoms whose nuclei spontaneously decay, releasing energy. They can be natural or artificially created.

Physical half-life (T1/2)

The time it takes for half of the radioactive nuclei in a sample to decay. This is a fundamental property of each radioactive isotope.

Mean life (τ)

The average time it takes for a radioactive nucleus to decay. It's directly related to the decay constant, which describes the rate of decay.

Biological half-life

The time it takes for the body to eliminate half of a substance (radioactive or stable) through processes like urination or sweating. This is independent of the physical half-life.

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Effective half-life

The shortest half-life of a substance considering both its physical and biological decay rates. The effective half-life influences how quickly a substance is eliminated from the body.

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