Jack was exposed to fast neutrons; he received a radiation dose of 220 rem on pa

Question

Jack was exposed to fast neutrons; he received a radiation dose of 220 rem on part of his hand, affecting 21.0 grams of tissue. The relative biological effectiveness (RBE) of these neutrons is 8.00.

Part A

How much radiation did Jack receive?

Express your answer in rads to three significant figures.

Part B

What was the total energy of the radiation Jack received?

Express your answer in joules to three significant figures.

Part C

Suppose Jill received the same rad dosage, but from beta rays with an RBE of 1.50 instead of from neutrons. What is the value of the equivalent dose she received?

Express your answer in rems to three significant figures.

Explanation / Answer

here,

radiation dose = 220 rem
affected tisuse weight = 21 g
relative biological effectiveness = 8

PART A:
Dose absorbed = Radiation received(RR) * RBE
RR = Dose absorbed / RBE
RR = 220/8
RR = 27.5 rad

Jack Received 27.5 rad of radiation.

PART B:
as 1 rad = 0.01 J/kg
so 27.5 rad = 0.01*27.5 = 0.275 J of energy

the total energy of the radiation Jack received 0.275 J

PART C:
RBE = 1.50

Dose absorbed = Radiation received(RR) * 1.50
Dose absorbed = 27.5 * 1.50
Dose absorbed = 41.25 rem

the equivalent dose jill received is 41.25 rem

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