Nuclear Physics And Radioactivity Question 279

Question: A radio-isotope has a half- life of 5 years. The fraction of the atoms of this material that would decay in 15 years will be [NCERT 1984; MP PMT 1996; MP PET 1997]

Options:

A) 1/8

B) 2/3

C) 7/8

D) 5/8

Show Answer

Answer:

Correct Answer: C

Solution:

$ \frac{N}{N_{0}}={{( \frac{1}{2} )}^{15/5}}=\frac{1}{8} $

Þ Decayed fraction $ =1-\frac{1}{8}=\frac{7}{8} $