Inverse Square Law Radiation Calculator

Inverse Square Law Formula:

\[ Dose = Dose0 \times \left( \frac{r0}{r} \right)^2 \]

Calculated Dose:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Inverse Square Law?

The Inverse Square Law describes how the intensity of radiation decreases as the distance from the source increases. It states that the intensity is inversely proportional to the square of the distance from the source.

2. How Does the Calculator Work?

The calculator uses the Inverse Square Law formula:

\[ Dose = Dose0 \times \left( \frac{r0}{r} \right)^2 \]

Where:

\( Dose \) — Calculated radiation dose (units)
\( Dose0 \) — Initial radiation dose (units)
\( r0 \) — Initial distance from radiation source (m)
\( r \) — New distance from radiation source (m)

Explanation: The equation shows that as distance from the radiation source doubles, the radiation dose decreases to one-quarter of its original value.

3. Importance of Radiation Dose Calculation

Details: Accurate radiation dose calculation is crucial for radiation safety, proper shielding design, and determining safe working distances in medical, industrial, and research settings involving radiation sources.

4. Using the Calculator

Tips: Enter the initial dose in appropriate units, initial distance in meters, and new distance in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why does radiation follow the inverse square law?
A: Radiation spreads out spherically from a point source, so the same amount of radiation is distributed over a larger area as distance increases, reducing intensity.

Q2: Does this law apply to all types of radiation?
A: The inverse square law applies to electromagnetic radiation (X-rays, gamma rays) and particulate radiation in vacuum or air when not significantly attenuated.

Q3: When is the inverse square law not accurate?
A: The law may not be accurate for extended sources, in scattering media, at very short distances, or when radiation is collimated or focused.

Q4: What units should I use for distance?
A: Any consistent distance units can be used (meters, feet, etc.) as long as both r0 and r use the same units.

Q5: How does this relate to radiation safety?
A: Understanding the inverse square law helps in implementing the ALARA principle (As Low As Reasonably Achievable) by maximizing distance from radiation sources.