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  • A radioactive element gets spilled over the floor of a room. Its half life period is 16 days. If the initial velocity is ten times the permissible value, after how many days will it be safe to ente

A radioactive element gets spilled over the floor of a room. Its half life period is 16 days. If the initial velocity is ten times the permissible value, after how many days will it be safe to enter the room

Option: 1

100 days


Option: 2

20 days


Option: 3

75 days


Option: 4

53 days


Answers (1)

best_answer

suppose activity of safer working = B
\mathrm{ \begin{aligned} & \text { Given } B_0=10 B \\\\ & \lambda=\frac{0.693}{t_{1 / 2}}=\frac{0.693}{16} \\\\ & t_{1}/2=\frac{2.303}{\lambda} \log \frac{B_0}{B}=\frac{2.303}{0.693 / 16} \log \frac{10 A}{A} \\\\ &=\frac{2.303 \times 16 \times \log 10}{0.693}=53 \text { days } \end{aligned} }

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Anam Khan

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