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13. Nuclei — Physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 SciencePhysics13. Nuclei1 Mark
MCQ
The relation between $\lambda $ and $({T_{1/2}})$ is (${T_{1/2}}=$ half life, $\lambda=$ decay constant)
  • A
    $\left(\lambda+ T _{1 / 2}\right)=\frac{ln }{2}$
  • ✓
    $T _{1 / 2}=\frac{ln2}{\lambda}$
  • C
    $T _{1 / 2}\; ln 2=\lambda$
  • D
    $T _{1 / 2}=\frac{1}{\lambda}$
✓

Answer

Correct option: B.
$T _{1 / 2}=\frac{ln2}{\lambda}$
b
(b) Relation between half-life ( $T_{1 / 2}$ ) of a radioactive substancce and its decay constant $\lambda$ is $\lambda=\frac{\log _{e} 2}{T_{1 / 2}}$

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