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Uses of Radioactive Substances

A radioactive...

Question

A radioactive substance was reduced to $1 / 4$ of the total amount in 8 days. Determine the further time taken by this radioactive substance to get reduced to ${1 / 8}^{t h}$ of the remaining amount.

A

18 days

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B

12 days

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C

24 days

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D

6 days

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Solution

The correct option is B 12 days
Total mass $4 d a y s - -- \to$ 1/2 of total mass $8 d a y s - -- \to$ 1/4 of total mass $12 d a y s - --- \to$ 1/8 of total mass
12 days will be taken to reduce the total mass of the 1/8th of the total mass.

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