Nuclear Chemistry Question 31
Question: Number of a–particles emitted per second by a radioactive element falls to 1/32 of its original value in 50 days. The half-life-period of this elements is
[AMU 2001]
Options:
A) 5 days
B) 15 days
C) 10 days
D) 20 days
Show Answer
Answer:
Correct Answer: C
Solution:
T = 50 days, $ {t _{1/2}} $ = -, $ N _{o}=1,N=\frac{1}{32}, $
$ N=N _{o}\times {{( \frac{1}{2} )}^{n}} $ or $ \frac{1}{32}=1\times {{( \frac{1}{2} )}^{n}}, $ or $ {{( \frac{1}{2} )}^{5}}={{( \frac{1}{2} )}^{n}} $ or n = 5 $ T={t _{1/2}}\times 2 $ , or $ {t _{1/2}}=\frac{50}{5}=10 $ days.
BETA
