A ratio isotope has a half-life of `75` years. The fraction the atoms of this material that would decay in `150` years. Will be.

Options

A. `66.6 %`
B. `85.5 %`
C. `62.5 %`
D. `75 %`

Answer

D

Explanation

(d) Number of half-lives in `150` years `n = (150)/(75) = 2`
Fraction of the atom of decayed `1 - ((1)/(2))^n`
=`1-((1)/(2))^2 = (3)/(4) = 0.75 rArr `Percentage decay `= 75 %`.