Nuclei - Result Question 87

89. 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

[1997]

(a) 0.922 per minute

(c) 0.461 per minute

(b) 0.691 per minute

(d) 0.230 per minute

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Answer:

Correct Answer: 89. (c)

Solution:

(c) dNdt=KN 9750=KN0 975=KN

(1)

(2)

Dividing (1) by (2)

NN0=110

K=2.303tlogN0N=2.3035log10

=0.4606=0.461 per minute



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