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

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66.6%

85.5%

62.5%

75%

answer is D.

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Detailed Solution

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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