Q.

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

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a

0.8 In 2

b

0.4 In 2

c

0.2 In 2

d

0.1 In 2

answer is B.

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Detailed Solution

rate o disintegration is proportional to no of atoms present\then 50002n=1250   n=2  i.e, two half life time is 5 min T12=2.5 min0.693λ=2.5    ln2λ=2.5  then λ=ln 212.5=0.4ln2
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