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Q.

A radioisotope has a half life of 75years. The fraction of the atoms of  this element  that would decay in 150 years will be

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a

66.6%

b

85.5%

c

62.5%

d

75%

answer is D.

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Detailed Solution

n=tT=15075=2 NN0=(12)2=14 Fraction of atoms decayed=N0−NN0=34N0N0=75% .
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