Nuclear Physics And Radioactivity Question 320

Question: Half-life of a radioactive element is 10 days. The time during which quantity remains 1/10 of initial mass will be [RPET 1997]

Options:

A) 100 days

B) 50 days

C) 33 days

D) 16 days

Show Answer

Answer:

Correct Answer: C

Solution:

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