43
QuizMultiple Choice

Nuclear Chemistry — Test

Question 43 • Physical Science

The original amount of a radioactive sample should be multiplied by which expression to calculate the amount of the sample that remains after n half-lives have passed?

Answer
A
open paren 1 over n close paren squared
B
1 half times n
C
1 half to the n th power
D
the fraction with numerator 1 and denominator 2 n

Explanation

Each half-life leaves one-half of the sample that was present before it. After n half-lives, the remaining fraction is therefore (1/2) multiplied by itself n times, or (1/2)^n. The correct choice is “1 half to the nth power”; 1/(2n) does not represent repeated halving.

AI-written and checked against the verified answer.

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