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KVPY SX SB Exam 05-Nov-2017 Question Paper
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© examsnet.com
Question : 107
Total: 120
÷ has a half-life of 22 years with respect toradioactive decay . The decay follows two parallelpaths :
227
Ac
→
227
Th
and
227
Ac
→
223
Fr
. If the percentage of the two daughter nuclides are 2.0 and 98.0, respectively, the decay constant (in year
–
1
) for
227
Ac
→
227
Th
path is closest to
6.3 × 10
–
2
6.3 × 10
–
3
6.3 × 10
–
1
6.3 × 10
–
4
Validate
Solution:
% Th =
R
1
R
T
=
2
100
% Ac =
R
1
R
T
=
98
100
∴
R
1
R
2
=
2
98
R
T
=
R
1
+
R
2
0.693
22
=
R
1
+
98
2
R
1
∴
R
1
=
6.3
×
10
–
4
© examsnet.com
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