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The half-life period of a radioactive element is 10 days. Then how long does it take for 90% of a given mass of this element to disintegrate

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19 days

27 days

33 days

47 days

answer is C.

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Detailed Solution

90% of the sample is decayed and 10% is undecayed. Fraction of (1/10) lies between (1/2)³ to (1/2)⁴ so the time is less than 4 half-life periods but more than 3 half-life periods, i.e., between 30 to 40 days. The correct choice is 33 days.

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