Half-life Relation
Half-life T1/2 in terms of λ equals?
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About This Question
- Subject
- physics
- Chapter
- atoms and nuclei
- Topic
- half-life relation
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
0.693 / λ
- Definition: Half-life (T1/2) is the time taken for half of the initial radioactive nuclei to decay.
- Equation: Set N=N0/2 in the decay law N=N0e−λt.
- 2N0=N0e−λT1/2
- 1/2=e−λT1/2
- Taking Natural Log: ln(1/2)=−λT1/2⟹−0.693=−λT1/2.
- Result: T1/2=λln2≈λ0.693.
This easy difficulty physics question is from the chapter atoms and nuclei, covering the topic of half-life relation. It appeared in the 2025 exam.
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