Nuclear Physics And Radioactivity Question 291
Question: 16 gm sample of a radioactive element is taken from Bombay to Delhi in 2 hour and it was found that 1 gm of the element remained (undisintegrated). Half life of the element is [MP PMT 1994]
Options:
A) 2 hour
B) 1 hour
C) $ \frac{1}{2}hour $
D) $ \frac{1}{4}hour $
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Answer:
Correct Answer: C
Solution:
$ N=N_{0}{{( \frac{1}{2} )}^{t/{T_{1/2}}}} $
Þ $ 1=16,{{( \frac{1}{2} )}^{\frac{2}{{T_{1/2}}}}} $
Þ $ {T_{1/2}}=\frac{1}{2}hour $