O 5/1/2017 11:55 PM A 77.3/100 5/1/2017 09:59 AM Gradebook Print calculator Peri

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O 5/1/2017 11:55 PM A 77.3/100 5/1/2017 09:59 AM Gradebook Print calculator Periodic Table Question 13 of 23 Map Sapling Learning macmillan learning Calculate the effective radiation dosage (in sieverts) for a 61-kg person who is exposed to 1.3 x 109 particles of alpha radiation. Assume that 91% of the radiation is absorbed, each alpha particle has an energy of 7.9x 10 3J, and that the RBE of the alpha particles is 15. Note that RBE is sometimes called the quality factor, abbreviated as Q. Number Sv A Previous Give Up & View solution Check Answer Next Exit 8 Hint

Explanation / Answer

1 sievert = 1 joule/kilogram.

Here alpha radiation = 1.3 x 109 particles

91 % of the radiation is absorbed by the body.

RBE of the alpha particles is 15. So the quality of alpha radiation is very good.

radiation absorbed by the body = (1.3 x 109 particles) X (91/100) = 1.183 x 109 particles.

Each alpha particle has an energy of 7.9 x 10-13 J.

So, radiation is absorbed = 1.183 x 109X 7.9 x 10-13 = 9.346 x 10^-4 J

Weight of the person = 61-kg

So, the effective radiation dosage (in Sieverts) = 9.346 x 10^-4 / 61 Kg

                                                           = 1.53 x 10-5 J / Kg

effective radiation dosage = 15 x 1.53 x 10-5

                                         = 2.3 x 10^-4 sev

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