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Introduction to Health Physics: Fourth Edition - Ruang Baca FMIPA UB

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EXTERNAL RADIATION SAFETY 519<br />

Figure 10-3. Geometry for calculating<br />

the variation of dose with distance<br />

from a plane source of radiation.<br />

If activity is given in Ci/m 2 and Ɣ in R-m 2 /Ci-h, and since an exposure of 1<br />

R corresponds <strong>to</strong> a dose equivalent of 1 rem, the dose-equivalent rate in rems/h<br />

can be calculated with Eq. (10.10) by using the traditional units instead of the<br />

SI units.<br />

H ˙<br />

rem · m2<br />

= Ɣ × Ca<br />

Ci · h<br />

Ci<br />

m2 × π × lnr 2 + h2 h2 rem<br />

. (10.11)<br />

h<br />

The ratio of the dose-equivalent rate at a distance h <strong>to</strong> the dose-equivalent rate at<br />

any other distance is given by<br />

H1 ˙<br />

=<br />

H2 ˙<br />

2 2<br />

(r + h1 ln<br />

)<br />

h 2<br />

1 <br />

2 2<br />

(r + h2 )<br />

ln<br />

h 2 2<br />

W Example 10.3<br />

<br />

. (10.12)<br />

Fifty MBq of 24 NaCl solution spilled over a circular area 50 cm in diameter. What is<br />

the gamma-ray dose-equivalent rate at a height of<br />

(a) 30 cm?<br />

(b) 1m?<br />

Solution<br />

(a) From Table 6-3, we find the specific gamma-ray emission constant for 24 Na<br />

<strong>to</strong> be 4.36 × 10 −7 Sv-m 2 /MBq-h. The areal concentration Ca = 50 MBq/π<br />

(0.25 m) 2 = 254.65 MBq/m 2 . Substituting the respective values in<strong>to</strong>

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