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JEE MAIN - Chemistry (2004 - No. 43)

The half – life of a radioisotope is four hours. If the initial mass of the isotope was 200 g, the mass remaining after 24 hours undecayed is
1.042 g
4.167 g
3.125 g
2.084 g

Објашњење

$${N_t} = {N_0}{\left( {{1 \over 2}} \right)^n}$$ where $$n$$ is number of half life periods.

$$n = {{Total\,\,time} \over {half\,\,life}} = {{24} \over 4} = 6$$

$$\therefore$$ $$\,\,\,\,\,{N_t} = 200{\left( {{1 \over 2}} \right)^6} = 3.125g.$$

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