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  • The half -life of a radioactive element is 3 yrs. The time interval between and <img alt="87.5%" src="https://entrancec

The half -life of a radioactive element is 3 yrs. The time interval between 50% and 87.5%  decay stages will be:

Option: 1

3 yrs


Option: 2

4 yrs


Option: 3

5 yrs


Option: 4

6 yrs


Answers (1)

best_answer

\mathrm{\lambda=\frac{0.693}{3}=0.231 \mathrm{yr}^{-1}}

\mathrm{\Delta t=t_{1}-t_{2} =\frac{2.303}{\lambda} \log \frac{100}{12.5} \times \frac{50}{100}}

\mathrm{t_{1}-t_{2} =\frac{2.303 \times 3}{2.303 \log 2} \times 2 \log 2 \

\mathrm{\Delta t =6 \text { yrs }}

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manish

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