Medical X-ray Exposure Limit · AI Generator #GEN-E7A33DDD

Physics · modern-physics

Problem

A hospital safety officer is evaluating the radiation exposure from a diagnostic X-ray machine. The machine produces X-rays with an average energy of

50\;\text{keV}

per photon. During a typical chest X-ray examination, approximately

1.2 \times 10^{12}

photons pass through each square centimeter of the patient's body. The recommended annual exposure limit for medical workers is

20\;\text{mSv}

(millisieverts). Given that

1\;\text{Sv} = 1\;\text{J/kg}

, calculate the total energy deposited per unit area during a single chest X-ray examination. Express your answer in joules per square meter.