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Atomic and Nuclear Physics — Physics STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 SciencePhysicsAtomic and Nuclear Physics1 Mark
MCQ
The relationship between $\lambda $ and half life $(\left.\mathrm{T}_{1 / 2}\right)$ of a radioactive substance is
  • A
    $\lambda=\frac{\log _{10} 2}{\mathrm{~T}_{1 / 2}}$
  • ✓
    $\lambda=\frac{\log _e 2}{\mathrm{~T}_{1 / 2}}$
  • C
    $\lambda=\frac{\log _2 10}{\mathrm{~T}_{1 / 2}}$
  • D
    $\lambda=\frac{\log _2 e}{T_{1 / 2}}$
✓

Answer

Correct option: B.
$\lambda=\frac{\log _e 2}{\mathrm{~T}_{1 / 2}}$
$\lambda=\frac{\log _e 2}{\mathrm{~T}_{1 / 2}}$

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