An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible

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Correct answer: C. 108

Given half-life of radioactive material $T\dfrac{1}{2} = 18$ days.

Let the permissible level have activity of ${A}_{Permissible}$
Thus, initially
${A}_{0} = 64{A}_{permissible}$ [Given]
Let number of days required be t.
$∴ \dfrac{{A}_{0}}{{2}^{\dfrac{t}{18}}} = {A}_{permissible}$
$∴ t = 108days$

An accident in a nuclear laboratory resulted in deposition of a...

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