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KVPY SX SB Exam 2012 Question Paper
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© examsnet.com
Question : 39
Total: 120
A parent nucleus X is decaying into daughter nucleus Y which in turn decays to Z. The half lives of X and Y are 40000 years and 20 years respectively. In a certain sample, it is found that the number of Y nuclei hardly changes with time. If the number of X nuclei in the sample is
4
×
10
20
, the number of Y nuclei present in it is
2
×
10
17
2
×
10
20
4
×
10
23
4
×
10
20
Validate
Solution:
In radioactive equilibrium
rate of decay of X = rate of decay of Y
λ
x
N
x
=
λ
y
N
λ
,
N
x
T
x
=
N
y
T
y
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