NCERT · Class 12 · Physics · NucleiThe half-life ($T{1/2}$) of a radioactive substance is related to its decay constant ($\lambda$) by:
Step-by-Step Solution
The relation is derived from radioactive decay law, giving $T_{1/2} = \frac{\ln 2}{\lambda} \approx \frac{0.693}{\lambda}$.
Detailed Options Breakdown
Option : $T_{1/2} = \lambda \ln 2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Nuclei.
Option 1: $T_{1/2} = \frac{0.693}{\lambda}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $T_{1/2} = \frac{\lambda}{0.693}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Nuclei.
Option 3: $T_{1/2} = \frac{1}{\lambda}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Nuclei.
💡 Study Guide: This question tests core syllabus concepts from Nuclei. For formulas, key summaries, and mock exam reference guides, read the full Nuclei Revision Notes.