Final answer:
The radiation dose in gray (Gy) for a 10-mSv fluoroscopic x-ray series is 0.01 Gy, as 1 Sv equals 1 Gy for x-rays, and 10 mSv equals 0.01 Sv.
Step-by-step explanation:
To find the radiation dose in gray (Gy) for a 10-mSv fluoroscopic x-ray series, we need to understand the relationship between sievert (Sv) and gray (Gy). The crucial fact here is that 1 Sv = 1 Gy for x-rays because the relative biological effectiveness (RBE) for x-rays is 1. Since 1 mSv is 0.001 Sv, a dose of 10 mSv would equate to 0.01 Sv. Therefore, the dose in Gy would also be 0.01 Gy, since for x-rays, 1 Sv = 1 Gy.