Modern Physics Ques 121

  1. A freshly prepared radioactive source of half-life $2$ $ h$ emits radiation of intensity which is $64$ times the permissible safe level. The minimum time after which it would be possible to work safely with this source is

(1988, 2M)

(a) $6 $ $h$

(b) $12 $ $h$

(c) $24 $ $h$

(d) $128 $ $h$

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Answer:

Correct Answer: 121.(b)

Solution:

Formula:

Radioactive Decay:

  1. From $R=R _0 (\frac{1}{2})^{n}$

we have, $1=64 (\frac{1}{2})^{n}$

or $\quad n=6=$ number of half lives

$\therefore \quad t=n \times t _{t _{1 / 2}}=6 \times 2=12 h$



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