Q151 / 180 · KCET 2014 · Physics

The relation between half life $ (T) $ and decay constant $ (\lambda) $ is

A
$ \lambda T=1 $
B
$ \lambda T=\frac{1}{2} $
Correct answer
C
$ \lambda T=\log _{e} 2 $
D
$ \lambda=\log 2 T $

Solution

Relation between half-life $(\mathrm{T})$ and decay constant $(\lambda)$ is $T=\frac{0.693}{\lambda}$ $\Rightarrow \lambda T=0.693$ Therefore, $\lambda T=\log _{e} 2$

Hence, the correct answer is option: 'C'.

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Solution

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