The count rate due to a sample of a radioactive isotope is measured for 75 minutes.
Time / minutesCount rate / (counts/second)06401551030400453206025075200 \begin{array}{|c|c|} \hline \text{Time / minutes} & \text{Count rate / (counts/second)} \\ \hline 0 & 640 \\ 15 & 510 \\ 30 & 400 \\ 45 & 320 \\ 60 & 250 \\ 75 & 200 \\ \hline \end{array} Time / minutes01530456075Count rate / (counts/second)640510400320250200What is the half-life of the isotope?
15 minutes15\text{ minutes}15 minutes
30 minutes30\text{ minutes}30 minutes
45 minutes45\text{ minutes}45 minutes
75 minutes75\text{ minutes}75 minutes
484 exam-style questions on CIE IGCSE Physics 5.2 Radioactivity, covering 5.2.1 Background radiation and measuring count rate, 5.2.2a Alpha, beta and gamma emission, 5.2.2b Deflection and ionising effects of nuclear radiation, 5.2.3a Radioactive decay, 5.2.3b Effects of decay on the nucleus and decay equations, 5.2.4a Half-life, 5.2.4b Choosing isotopes for applications, and 5.2.5 Effects of ionising radiation and safety precautions. Each one has a worked solution and a mark scheme showing where the marks go.