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  • A freshly prepared radioactive source of half life 2 hours 30 minutes emits radiation which is 64 times the permissible safe level. The minimum time, after which it would be possible to work safely

A freshly prepared radioactive source of half life 2 hours 30 minutes emits radiation which is 64 times the permissible safe level. The minimum time, after which it would be possible to work safely with source, will be________________ hours.

Option: 1

15


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

Let the permissible level be \mathrm{A}

\mathrm{A_0=64 \mathrm{~A} }

\mathrm{A_t=A \quad(\text { at time } t) }

\mathrm{A_t=A_0 2^{-t / T_{1 / 2}} }

\mathrm{\frac{1}{64}=\frac{1}{2^6}=\frac{1}{2^{t / T_{1 / 2}}} }

\mathrm{t / T_{1 / 2}=6 }

\mathrm{t=6 \times T_{1 / 2}=15 \mathrm{hrs}}







 

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