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Updated on : 2022-09-05

Solution

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Correct option is B)

Radioactive decay rate is directly proportional to number of nucleus present at any time

$dtdN =−λN$....(i)

where $λ$ is a constant related to half life as $λ=T_{21}ln2 $ where $T_{21}$ is half life time of radioactive decay

The total rate of decay is

$λ_{1}=T_{1}ln2 $

$λ_{2}=T_{2}ln2 $

$λ_{effective}=T_{effective}ln2 $

substituting in equation (ii)

$(T_{1}ln2 $ $+T_{2}ln2 )N$ $=T_{effective}ln2 N$

$T1 =T_{1}1 +T_{2}1 $

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