The activity of a radioactive sample is measured as 9750 count/min at t = 0 and 975 count/min at t = 5 min.The decay constant is nearly
0.922 min−1
0.230 min−1
0.691 min−1
0.461 min−1
A
0.691 min−1
B
0.922 min−1
C
0.461 min−1
D
0.230 min−1
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Solution
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Initial activity of the sample Ro=9750 count/min
Activity after t=5 min, R=975 count/min
Using First order decay, R=Roe−λt
∴975=9750e−5λ
Or −ln10=−5λ
Or 2.303=5λ
⟹λ=0.461min−1
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