Use measurements of background radiation to determine a corrected count rate

Resources | Subject Notes | Physics

IGCSE Physics - 5.2.1 Detection of Radioactivity

IGCSE Physics 0625

5.2.1 Detection of Radioactivity

This section focuses on how we can detect and measure radioactive emissions, particularly by measuring background radiation and determining a corrected count rate.

Background Radiation

Background radiation is the naturally occurring radiation that surrounds us. It comes from various sources, including cosmic rays, naturally occurring radioactive isotopes in the Earth's crust, and even within our own bodies.

Measuring Count Rate

A Geiger-Müller tube is a common instrument used to detect and measure ionizing radiation. It works by detecting the ionization produced when radiation passes through it, resulting in a detectable electrical pulse. The count rate is the number of these pulses detected per unit time (usually per minute).

Correcting for Background Radiation

When measuring the radioactivity of a sample, it's crucial to account for the background radiation. This is done by measuring the count rate in the absence of the sample and then subtracting this background count rate from the count rate obtained with the sample. This gives a corrected count rate that is due to the sample being measured.

Procedure for Determining Corrected Count Rate

  1. Measure the count rate of the Geiger-Müller tube without the radioactive sample present. This is the background count rate.
  2. Place the radioactive sample in the path of the radiation.
  3. Measure the count rate with the sample present.
  4. Subtract the background count rate from the count rate with the sample to obtain the corrected count rate.

Calculation

The corrected count rate ($C$) can be calculated using the following formula:

$$C = \text{Count rate with sample} - \text{Background count rate}$$

Table: Example Data and Calculation

Measurement Value (counts/minute)
Background Count Rate (no sample) 15
Count Rate with Sample 285
Corrected Count Rate $285 - 15 = 270$ counts/minute

In this example, the corrected count rate of the sample is 270 counts per minute.

Important Considerations

  • Ensure the Geiger-Müller tube is shielded from external sources of radiation.
  • Allow sufficient time for the background radiation reading to stabilize.
  • Take multiple readings and calculate the average background count rate for greater accuracy.