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13.Nuclei
easy
The relation between $\lambda $ and $({T_{1/2}})$ is (${T_{1/2}}=$ half life, $\lambda=$ decay constant)
A
$\left(\lambda+ T _{1 / 2}\right)=\frac{ln }{2}$
B
$T _{1 / 2}=\frac{ln2}{\lambda}$
C
$T _{1 / 2}\; ln 2=\lambda$
D
$T _{1 / 2}=\frac{1}{\lambda}$
(AIPMT-2000)
Solution
(b) Relation between half-life ( $T_{1 / 2}$ ) of a radioactive substancce and its decay constant $\lambda$ is $\lambda=\frac{\log _{e} 2}{T_{1 / 2}}$
Standard 12
Physics