Nuclear Physics And Radioactivity Question 389

Question: A radioactive material has a half-life of 8 years. The activity of the material will decrease to about 1/8 of its original value in [UPSEAT 2005]

Options:

A) 256 year

B) 128 year

C) 64 year

D) 24 year

Show Answer

Answer:

Correct Answer: D

Solution:

$ \frac{A}{A_{0}}={{( \frac{1}{2} )}^{t/{T_{1/2}}}} $

Þ $ \frac{1}{8}={{( \frac{1}{2} )}^{t/8}} $

Þ $ t=24,years. $