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A substance is kept for 2 hours and three-fourth of that substance disintegrates during this period. The half life of the substance is

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2 hr

1 hr

30 min

4 hr

answer is B.

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Detailed Solution

Given,

Amount left $N = 1 - \frac{3}{4} = \frac{1}{4}$

$\begin{aligned} N = N_{0} {(\frac{1}{2})}^{n} \Rightarrow (\frac{N}{N_{0}}) = {(\frac{1}{2})}^{n} \\ \Rightarrow (\frac{1}{4}) = {(\frac{1}{2})}^{n} or n = 2 \end{aligned}$

We know $T = n \times t_{1 / 2} \Rightarrow t_{1 / 2} = \frac{2}{2} = 1 hr$

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