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A substance decays at a rate proportional to the amount of the substance itself. If half of the substance decays in one year, then what is the proportionality constant?
  • a)
    loge2
  • b)
    log102
  • c)
    (loge2)/2
  • d)
    (log10​2)/2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A substance decays at a rate proportional to the amount of the substan...
It is given that the decay rate is proportional to the amount of substance. If the amount of the substance is N then, 

Here, λ is the decay constant.
The half life of any radioactive substance is given as: 
Given: The half life of the substance is : t1/2 = 1years.
Substituting in the half life formula : 
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A substance decays at a rate proportional to the amount of the substance itself. If half of the substance decays in one year, then what is the proportionality constant?a)loge2b)log102c)(loge2)/2d)(log102)/2Correct answer is option 'A'. Can you explain this answer?
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