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The half-life of radium is 1600 years. What is the fraction of sample undecayed after 6400 years?

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The half-life of radium is 1600 years. What is the fraction of sample undecayed after 6400 years?

(a) 1/16

(b) 1/4

(c) 1/8

(d) 1/24

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1 Answer

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Best answer

The correct option is (a) 1/16.

Explanation:

Half life, T = 1600 years 

Time of decay, t = 6400 years

Number of half-lives, n = t/T = 6400/1600 = 4

Fraction undecayed = N/No = (1/2)n = (1/2)4 = 1/16

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