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Question

Question: Half life of a radioactive element is 10 days. The time during which quantity remains 1/10 of initia...

Half life of a radioactive element is 10 days. The time during which quantity remains 1/10 of initial mass will be.

A

100 days

B

50 days

C

33 days

D

16 days

Answer

33 days

Explanation

Solution

After three half lives (i.e., 30 days) it remains (12)3=18,\left( \frac{1}{2} \right)^{3} = \frac{1}{8}, so it will remain 110th\frac{1}{10}th, approximately in 33 days.