Nuclear Physics And Radioactivity Question 367

Question: If $ N_{0} $ is the original mass of the substance of half life period $ {T_{1/2}}=5 $ years, then the amount of substance left after 15 years is [AIEEE 2002]

Options:

A) $ N_{0}/8 $

B) $ N_{0}/16 $

C) $ N_{0}/2 $

D) $ N_{0}/4 $

Show Answer

Answer:

Correct Answer: A

Solution:

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