Radioactive Decay Probability

00:00 1 marks

The decay constant of a radioactive isotope is $\lambda$. What is the probability that a nucleus will decay in a short time interval $\Delta t$?

A

$\lambda$
B

$\lambda\Delta t$
C

$e^{-\lambda\Delta t}$
D

$1 - e^{-\lambda\Delta t}$

Hint Hint

Hint

Recall the definition of the decay constant $\lambda$ in terms of probability per unit time. Consider how this relates to the probability over a small time interval $\Delta t$.

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Answer Answer

Complete Answer

$\lambda\Delta t$

Mark Scheme Mark Scheme

Answer Explanation Answer Explanation

Examiner Tips Examiner Tips

Common Errors Common Errors

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