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3.29. Determine the air kerma rate at a distance of 1.5 m from the point isotropic source 13*Cs with
activity 10° Bq.

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(1) Hydrostatic balance states Op Əz Equation -1 where p is pressure, z is altitude, p is density and g is the acceleration due to gravity. It can be shown that the reciprocal of hydrostatic balance also applies. That is Equation -2 дz Әр = -Pg, = 1 pg Use the ideal gas law (p = pRT, where R is the gas constant for dry air and Tis temperature) to eliminate p from (2). (2) Under geostrophic balance, the following balance is approximately satisfied Equation -3 fu=-g ¹ (3) where f is the Coriolis parameter, u is the zonal wind, y is meridional distance and z is altitude. (Note that the derivative on the right hand side is taken at constant pressure.) Differentiate (3) with respect to p, and use your expression from part 1 to obtain an expression relating du/ap and T/ay. This expression is called "thermal wind balance".
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