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(e) This is similar to part (d) above. Since only 1.00% of the
226
Ra remains, the ratio
N
226
/
N
210
is 1.00% of that of the equilibrium state computed in part (c), or (0.0100)(70.8)
= 0.708.
(f) Since the actual value of
N
226
/
N
210
is 0.09, which much closer to 0.0100 than to 1, the
sample of the lead pigment cannot be 300 years old. So
Emmaus
is not a
Vermeer
.
74. (a) From the decay series, we know that
N
210
, the amount of
210
Pb nuclei, changes
because of two decays: the decay from
226
Ra into
210
Pb at the rate
R
226
=
λ
226
N
226
, and the
decay from
210
Pb into
206
Pb at the rate
R
210
=
λ
210
N
210
. The first of these decays causes
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This note was uploaded on 05/19/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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