Question
Download Solution PDFIf N0 is the original mass of the substance of half life \(t_{\frac{1}{2}}=4\) years, then the amount of substance left after 12 years is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
The amount of substance left after 12 years can be found using the formula for radioactive decay:
N(t) = No * (1/2)(t/t1/2)
where N(t) is the amount of substance remaining after time t, No is the original amount of substance, t1/2 is the half-life, and t is the time elapsed.
In this case, No (since No is the original mass), t1/2 = 4 years, and t = 12 years.
Substituting these values into the formula gives:
N(12) = No * (1/2)12/4
N(12) = No * (1/2)3
N(12) = No/8
N(12) = 0.125 * No
Therefore, after 12 years, the amount of substance remaining is 0.125 times the original mass or 12.5% of the original mass.
N = N0/8
The correct answer is option (3)
Last updated on Jun 13, 2025
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