A student is determining the corrected count rate of a radioactive sample. The total count rate measured by the detector in the presence of the sample is RtotalR_{\text{total}}Rtotal, and the background count rate measured in the absence of the sample is RbackgroundR_{\text{background}}Rbackground.
Which of the following equations correctly expresses the corrected count rate of the sample, RsampleR_{\text{sample}}Rsample?
Rsample=Rtotal+RbackgroundR_{\text{sample}} = R_{\text{total}} + R_{\text{background}}Rsample=Rtotal+Rbackground
Rsample=Rtotal−RbackgroundR_{\text{sample}} = R_{\text{total}} - R_{\text{background}}Rsample=Rtotal−Rbackground
Rsample=Rbackground−RtotalR_{\text{sample}} = R_{\text{background}} - R_{\text{total}}Rsample=Rbackground−Rtotal
Rsample=Rtotal+Rbackground2R_{\text{sample}} = \frac{R_{\text{total}} + R_{\text{background}}}{2}Rsample=2Rtotal+Rbackground
44 exam-style questions on CIE IGCSE Physics 5.2.1 Background radiation and measuring count rate. Each one has a worked solution and a mark scheme showing where the marks go.