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Nuclear Physics - Safety precautions in radioactivity

Grade 11IGCSEPhysics

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

Minimizing exposure time: The total dose of radiation received is directly proportional to the time spent near the radioactive source. Reducing time reduces the biological risk.

Maximizing distance: Increasing the distance from a radioactive source significantly reduces the intensity of radiation reaching the body, following the Inverse Square Law (I1d2I \propto \frac{1}{d^2}). Hands should never touch a source; long-handled tongs must be used.

Shielding: Placing materials between the source and the person to absorb radiation. α\alpha-particles can be stopped by paper, β\beta-particles by a few millimeters of aluminum, and γ\gamma-rays require thick lead or concrete.

Storage and Labeling: Radioactive sources must be stored in lead-lined containers when not in use. These containers must be clearly labeled with the standard 'Trefoil' ionizing radiation hazard symbol.

Monitoring and Personal Protection: Workers use film badges (dosimeters) containing photographic film that darkens upon exposure. This allows for the tracking of the cumulative dose received, measured in Sieverts (SvSv) or millisieverts (mSvmSv).

Contamination vs. Irradiation: Irradiation is the process of exposing an object to radiation (it does not make the object radioactive). Contamination occurs when radioactive atoms get onto or into an object (e.g., ingestion of α\alpha-emitters is extremely dangerous due to high ionization).

Background Radiation: Safety calculations must often account for background radiation, which comes from natural sources (radon gas, cosmic rays, rocks) and artificial sources (medical X-rays, nuclear fallout).

📐Formulae

I1d2I \propto \frac{1}{d^2}

I1I2=d22d12\frac{I_1}{I_2} = \frac{d_2^2}{d_1^2}

Rcorrected=RmeasuredRbackgroundR_{corrected} = R_{measured} - R_{background}

Dose(Sv)=Energy absorbed (J/kg)×Quality FactorDose (Sv) = Energy \ absorbed \ (J/kg) \times Quality \ Factor

💡Examples

Problem 1:

A student measures the radiation from a source using a Geiger-Müller (GM) counter. The total count rate recorded is 145 counts per minute145 \text{ counts per minute}. If the background radiation in the room is 25 counts per minute25 \text{ counts per minute}, calculate the corrected count rate of the source.

Solution:

Rcorrected=145 cpm25 cpm=120 counts per minuteR_{corrected} = 145 \text{ cpm} - 25 \text{ cpm} = 120 \text{ counts per minute}

Explanation:

To find the actual activity of a radioactive source, the background radiation present in the environment must be subtracted from the total reading measured by the detector.

Problem 2:

The intensity of γ\gamma-radiation at a distance of 1.0 m1.0 \text{ m} from a source is 400 units400 \text{ units}. Calculate the intensity if a worker moves to a distance of 4.0 m4.0 \text{ m} from the source.

Solution:

Using I1I2=d22d12\frac{I_1}{I_2} = \frac{d_2^2}{d_1^2}, we have 400I2=4.021.02\frac{400}{I_2} = \frac{4.0^2}{1.0^2} 400=I2×16400 = I_2 \times 16 I2=40016=25 unitsI_2 = \frac{400}{16} = 25 \text{ units}

Explanation:

According to the inverse square law, doubling the distance reduces the intensity to one-fourth. Here, the distance increased by a factor of 44, so the intensity decreases by a factor of 42=164^2 = 16.

Safety precautions in radioactivity Revision - Grade 11 Physics IGCSE