Nuclear Physics And Radioactivity Question 333
Question: The half-life of radon is 3.8 days. Three forth of a radon sample decay in
Options:
A) 5.02 days
B) 15.2 days
C) 7.6 days
D) 11.4 days
Show Answer
Answer:
Correct Answer: C
Solution:
Decayed fraction $ =\frac{3}{4} $ , so undecayed fraction $ =\frac{1}{4} $ Now $ \frac{N}{N_{0}}={{( \frac{1}{2} )}^{n}}\Rightarrow \frac{1}{4}={{( \frac{1}{2} )}^{n}}\Rightarrow n=2 $
Þ $ t=n\times {T_{1/2}}=2\times 3.8=7.6\ days $
BETA
