A 30.0-kg child receives 2.65 × 10⁷ $\beta$ particles, each with an energy of 4.60 × 10^-13 J. If the RBE = 0.78, how many millirem did the child receive?

Question

Quizplus · Accepted Answer

The dose in millirem is calculated using the formula: Dose (rem) = (Energy absorbed in J/kg) × RBE × 1000. First, calculate the total energy absorbed: (2.65 × 10^7 particles) × (4.60 × 10^-13 J/particle) = 1.219 × 10^-5 J. Then, divide by the mass of the child: 1.219 × 10^-5 J / 30 kg = 4.063 × 10^-7 J/kg. Multiply by RBE and convert to millirem: 4.063 × 10^-7 J/kg × 0.78 × 1000 = 3.2 × 10^-2 millirem.

A 300-Kg Child Receives 2 β\betaβ Particles, Each with an Energy of 4

A 300-Kg Child Receives 2 $\beta$ Particles, Each with an Energy of 4