A radiologist receives an equivalent dose of 100 microsieverts (uSv) while standing 25 cm from a patient during a fluoroscopy procedure. Estimate the equivalent dose if the radiologist stood 10 cm from the patient.

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Multiple Choice

A radiologist receives an equivalent dose of 100 microsieverts (uSv) while standing 25 cm from a patient during a fluoroscopy procedure. Estimate the equivalent dose if the radiologist stood 10 cm from the patient.

Explanation:
The main idea is the inverse square law: radiation dose changes with the square of the distance from the source, so dose is proportional to 1/r^2. Dropping from 25 cm to 10 cm increases exposure by a factor of (25/10)^2 = (2.5)^2 = 6.25. Multiplying the original equivalent dose by this factor gives 100 µSv × 6.25 = 625 µSv. For X-rays, the weighting factor is 1, so the equivalent dose equals the absorbed dose. So the estimated dose at 10 cm is 625 µSv.

The main idea is the inverse square law: radiation dose changes with the square of the distance from the source, so dose is proportional to 1/r^2. Dropping from 25 cm to 10 cm increases exposure by a factor of (25/10)^2 = (2.5)^2 = 6.25. Multiplying the original equivalent dose by this factor gives 100 µSv × 6.25 = 625 µSv. For X-rays, the weighting factor is 1, so the equivalent dose equals the absorbed dose. So the estimated dose at 10 cm is 625 µSv.

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