Question:
If decay constant of a radioactive element doubles, then its half-life time becomes:
If decay constant of a radioactive element doubles, then its half-life time becomes:
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Decay constant and half-life are inversely related.
Updated On: Jun 10, 2026
- Doubles
- Halves
- Same
- Increased by 4 times
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The Correct Option is B
Solution and Explanation
Step 1: Concept
Half-life $T_{1/2} = 0.693 / \lambda$, where $\lambda$ is the decay constant.
Step 2: Analysis
Since $T_{1/2}$ is inversely proportional to $\lambda$, doubling $\lambda$ results in halving $T_{1/2}$.
Step 3: Conclusion
The half-life time becomes half.
Final Answer: (B)
Half-life $T_{1/2} = 0.693 / \lambda$, where $\lambda$ is the decay constant.
Step 2: Analysis
Since $T_{1/2}$ is inversely proportional to $\lambda$, doubling $\lambda$ results in halving $T_{1/2}$.
Step 3: Conclusion
The half-life time becomes half.
Final Answer: (B)
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