Nuclear Physics And Radioactivity Question 269
Question: If T is the half-life of a radioactive material, then the fraction that would remain after a time $ \frac{T}{2} $ is [MP PMT 1992]
Options:
A) $ \frac{1}{2} $
B) $ \frac{3}{4} $
C) $ \frac{1}{\sqrt{2}} $
D) $ \frac{\sqrt{2}-1}{\sqrt{2}} $
Show Answer
Answer:
Correct Answer: C
Solution:
Fraction remains after n half lives $ \frac{N}{N_{0}}={{( \frac{1}{2} )}^{n}}={{( \frac{1}{2} )}^{t/T}} $ \ $ \frac{N}{N_{0}}={{( \frac{1}{2} )}^{\frac{T/2}{T}}}={{( \frac{1}{2} )}^{1/2}}=\frac{1}{\sqrt{2}} $
BETA
