IB Physics SL E.3.11 Activity, Count Rate & Half-Life

Practise extracting half-life from graphs or tables and separating source activity from background count rate.

Syllabus
First assessment 2025
Objective
Level
SL

Exam points

  • subtract background count before using successive halving to estimate half-life
  • apply repeated half-lives or exponential decay to predict later activity or count rate
  • test whether data follow radioactive decay by checking for a constant half-life

E.3.11—Activity, count rate and half-life question 1

[Maximum number: 3]

This section consists of three questions: B1, B2 and B3.

Question (a)

(a)

The isotope tritium (hydrogen-3) has a radioactive half-life of 12 days.

[ 1 ]

Question (i)

(i)

Define radioactive half-life.

[ 1 ]

Question (b)

(b)

A sample of tritium has an activity of 8.0×104 Bq8.0 \times 10^{4} \mathrm{~Bq} at time t=0. The half-life of tritium is 12 days.

[ 2 ]

Question (i)

(i)

Using the axes below, construct a graph to show how the activity of the sample varies with time from t=0 to t=48 days.

Figure for Question (i) — IB Physics SL
[ 2 ]
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