The ratio between mean life and half-life is:
Correct answer: D. (Log2)-1
- A. Log2
- B. 1/log λ
- C. 1/λ
- D. (Log2)-1
Explanation
We have to remember formulaMean life = 1/lambda Half life = log2 / lambda =log2 × 1/lambdaReplacing 1/lambda by mean life,Half life = log2 × mean life.......(i)Ratio required= mean life/ half lifeFrom equation (i)Mean life/half life = 1 / log2 = (log2)-¹
This question appeared on the ETEA MDCAT 2005 paper, which you can sit online with every answer explained.
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About Half-life and Rate of Decay
Half-life is the time required for half the unstable nuclei in a sample to decay, and it remains constant for a particular radioactive nuclide. Questions use the exponential decay law, decay constant, activity, remaining quantity and mean life. Radioactive decay is random for individual nuclei but predictable for large samples.
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