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  • A radioactive substance contains 10000 nuclei and its half-life period is 20 days. The number of nuclei present at the end of 10 days isOption: 1 707

A radioactive substance contains 10000 nuclei and its half-life period is 20 days. The number of nuclei present at the end of 10 days is

Option: 1

7070


Option: 2

9000


Option: 3

8000


Option: 4

7000


Answers (1)

best_answer

\begin{aligned} & \frac{\mathrm{N}}{\mathrm{N}_0}=\left(\frac{1}{2}\right)^{\frac{\mathrm{t}}{\mathrm{T}}} \text { or } \frac{\mathrm{N}}{10000}=\left(\frac{1}{2}\right)^{\frac{10}{20}} \\ & \text { or } \mathrm{N}=\frac{10000 \times 1}{\sqrt{2}}=\frac{10000}{1.414}=7070 \end{aligned}

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Sanket Gandhi

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