Jack was exposed to fast neutrons; he received a radiation dose of 280 rem on pa

Question

Jack was exposed to fast neutrons; he received a radiation dose of 280 rem on part of his hand, affecting 20.0 grams of tissue. The relative biological effectiveness (RBE) of these neutrons is 8.00.

Part A: How much radiation did Jack receive? in rad.

Part B: What was the total energy of the radiation Jack received? in J.

Part C: Suppose Jill received the same rad dosage, but from beta rays with an RBE of 1.30 instead of from neutrons. What is the value of the equivalent dose she received? in rems.

Explanation / Answer

here,

Received dose, D = 280 REM

mass of tissue, m = 20 gm = 0.02 kg

RBE of Neutrons, R = 8

Part A:
Energy Received E = D / R = 280 / 8 = 35 rad

Part B:
Since 1rad = 0.01 J/kg
35 rad = 0.01 * 35 = 0.35 J/kg

The total Energy received by jack,
0.35(J/Kg)*0.02Kg = 0.007 J

Part C:
RBE of beta rays, R = 1.30

therefore received does, D = E * 1.30
D = 35 * 1.30
D = 45.5 REM

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