A certain radioisotope has an intensity of 10^6 Bq at 1-cm distance from the source. What would

step 1 For this question, a certain radioactive isotope has an intensity of 1 times 10 to the 6 becquer

A certain radioisotope has an intensity of 10^6 Bq at 1-cm...

A certain radioisotope has an intensity of $10^{6} \mathrm{Bq}$ at 1-cm distance from the source. What would be the intensity at $20 \mathrm{cm} ?$ Give your answer in both $\mathrm{Bq}$ and $\mu \mathrm{Ci}$ units.

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Key Concepts

Unit Conversion in Radioactivity

Converting between different units of radioactivity, such as between becquerels and microcuries (?Ci), is an important aspect of understanding and comparing measurements. Each unit offers a different scale and perspective on the same physical phenomenon, and accurate conversion is crucial for applications in science and engineering.

Radioactive Activity

Radioactive activity quantifies the rate at which a radioactive source emits particles or radiation, and is typically measured in becquerels (Bq), which represent decays per second. This concept is essential when assessing how the intensity of a radioactive source changes with distance or other factors.

Inverse Square Law

The inverse square law is a fundamental principle in physics stating that the intensity of a physical quantity, such as radiation, falls off proportional to the square of the distance from its source. This means that if the distance from the source is increased, the observed intensity decreases by the square of that change in distance.

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