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Q.

A radioactive sample at any instant has its disintegration rate 5000 disintegrations per minute. After 5 minutes the rate is 1250 disintegrations per minute. Then, the decay constant (per minute) is

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a

0.2 ln2

b

0.1ln2

c

0.8 ln2

d

0.4 ln2

answer is A.

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Detailed Solution

At t = 0→5000 / sec ; At t = 2.5→2500 / sec
At t = 5→1250 / sec
⇒T=2.5sec⇒λ=0.693T=ln⁡2Tλ=ln⁡22.5=0.4ln⁡2

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A radioactive sample at any instant has its disintegration rate 5000 disintegrations per minute. After 5 minutes the rate is 1250 disintegrations per minute. Then, the decay constant (per minute) is