The amount left after N half lives equals 12N times the beginning amount-

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Standard VIII

Mathematics

Division Rules of Exponents

The amount le...

Question

The amount left after $N$ half lives equals $\frac{1}{2^{N}}$ times the beginning amount.

True

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False

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Solution

The correct option is A True

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Question 139

A half-life is the amount of time that it takes for a radioactive substance to decay one-half of its original quantity.
Suppose radioactive decay causes 300 grams of a substance to decrease $300 \times 2^{- 3}$ grams after 3 half-lives. Evaluate $300 \times 2^{- 3}$ to determine how many grams of the substance is left.
Explain why the expression $300 \times 2^{- n}$ can be used to find the amount of the substance that remains after n half-lives.