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

a
66.6%
b
85.5%
c
62.5%
d
75%

detailed solution

Correct option is D

Number of half-lives in two years n=15075=2Fraction of the atom of the decayed 1-12n=1-122=34=0.75⇒Percentage decay =75%

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