0
$\begingroup$

I know that if I have a sample of a certain radioactive isotope with total mass $x_0$, then I can calculate how much of that mass is left after $t$ hours using $ x = x_0 \cdot e^{- \lambda t} $. I also know that this works the same if instead of mass I use Becquerels or total number of particles.

But what about the equivalent dose? That is, if it takes $t$ hours for the sample's mass to decrease by half, can I expect a measurement in $\mu$Sv from a geiger counter to also halve after $t$ hours (assuming the background radiation in negligible and I take both measurements at the same distance from the sample)? I would expect that measurement to have some sort of half-life, the question is whether or not I can use the same equation $ x = x_0 \cdot e^{- \lambda t} $, with the same constant $\lambda$.

$\endgroup$

1 Answer 1

1
$\begingroup$

Yes, assuming it is a single type of radiation source.

The conversion from mass to dose is a constant, so you can multiply both sides of your equation by the same constant.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.