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Physics-

General

Easy

Question

In a sample of radioactive material, what percentage of the initial number of active nuclei will decay during one mean life

69.3%
36%
50%
37%

The correct answer is: 36%

Number of atoms remains undecayed $N equals N subscript 0 e to the power of left parenthesis minus lambda t right parenthesis$
Number of atoms decayed $equals straight N subscript 0 open parentheses 1 minus straight e to the power of negative lambda straight t end exponent close parentheses$
$equals straight N subscript 0 open parentheses 1 minus straight e to the power of negative lambda cross times 1 over lambda end exponent close parentheses equals straight N subscript 0 open parentheses 1 minus 1 over straight e close parentheses equals 0.63 straight N subscript 0 equals 63 straight percent sign$ of N_o

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