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Byju's Answer
Standard IX
Chemistry
Radiocarbon Dating
A piece of bo...
Question
A piece of bone from an archaeological site is found to give a count rate of
15
counts per minute. A similar sample of fresh bone gives a count rate of
19
counts per minute. Calculate the age of the specimen. Given
T
1
/
2
=
5570
y
e
a
r
s
Open in App
Solution
Count rate of fresh sample
N
0
=
19
counts/minute
Count rate of bone
N
=
15
counts/minute
T
1
/
2
=
5570
years, Age of the sample,
t
=
?
N
=
N
0
e
−
λ
t
λ
=
0.6931
5570
15
=
19
e
−
λ
t
(or)
e
λ
t
=
19
15
log
e
19
15
=
λ
t
(or)
t
=
log
e
19
15
×
1
λ
t
=
5570
0.6931
×
2.3026
×
log
10
19
15
=
5570
0.6931
×
2.3026
×
0.1026
t
=
1899
y
e
a
r
s
.
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