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  1. The activity of a radioactive sample is measured as 9750 counts per minute at t = 0 and as 975 counts per minute at t = 5 minutes. The decay constant is approximately
    1. 0.922 per minute
    2. 0.691 per minute
    3. 0.461 per minute
    4. 0.230 per minute
Correct Option: C

dN
= KN
dt

9750 = KN0 ​​.............​(1)
​975 = KN ​​.............​(2) ​
Dividing (1) by (2)
N
=
1
N010

K =
2.303
log
N0
=
2.303
log10
tN5

= 0.4606 = 0.461 per minute



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