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Q.

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

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a

0.230 per minute

b

0.461 per minute

c

0.691 per minute

d

0.922 per minute

answer is B.

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Detailed Solution

A=A0e-λt⇒975=9750e-λx5⇒e5λ=10 ⇒5λ=loge10=2.3026 log1010=2.3026 ⇒λ=0.461
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