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 $