Question

A 70-kg researcher absorbs 4.5 x 10^8 neutrons in a workday, each of energy 1.2 MeV. The relative biological effectiveness (RBE) for these neutrons is 10. What is the equivalent dosage of the radiation exposure for this researcher, in millirem?

Answer 1

Answer:

effective dose is 1.2 mrem

Explanation:

given data

mass m = 70 kg

absorb  n = 4.5 ×  $10^{8}$

energy = 1.2 MeV

neutrons = 10

to find out

equivalent dosage

solution

we know here total energy in a day is

total energy = 4.5 ×  $10^{8}$ × 1.2

total energy = 5.4 × $10^{14}$ eV

and total energy = 5.4 × $10^{14}$  × 1.6 × $10^{-19}$

so total energy = 8.64 × $10^{-5}$ J

and for mass 70 kg

it will be = 8.64 × $10^{-5}$  / 70

= 1.23 × $10^{-4}$ rad

so

effective dose is here = 1.23 × $10^{-4}$ × 10 = 0.0012 rem

so effective dose is 1.2 mrem

Answer 2

The equivalent dosage of the radiation exposure for this researcher is 1.23 × 10-7millirem.

HOW TO CALCULATE EQUIVALENT DOSAGE?

According to this question, a 70-kg researcher absorbs 4.5 x 10^8 neutrons in a workday, each of energy 1.2 MeV.

• mass = 70 kg
• absorb n = 4.5 × 10⁸
• Energy = 1.2 MeV
• neutrons = 10

To find out equivalent dosage;

The total energy in a day can be calculated as follows:

Total energy = 4.5 × 10⁸ × 1.2 = 5.4 × 10⁸

5.4 × 10⁸ × 1.6 × 10-¹⁹

= 8.64 × 10-¹¹

For a mass of 70kg, 8.64 × 10-¹¹ ÷ 70

= 1.23 × 10-¹⁰

Therefore, the equivalent dosage of the radiation exposure for this researcher is 1.23 × 10-7millirem.

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