Nuclear Physics And Radioactivity Question 322

Question: If half-life of a radioactive element is 3 hours, after 9 hours its activity becomes [RPMT 1997; RPET 1999]

Options:

A) 1/9

B) 1/27

C) 1/6

D) 1/8

Show Answer

Answer:

Correct Answer: D

Solution:

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

Þ $ \frac{A}{A_{0}}={{( \frac{1}{2} )}^{9/3}}=\frac{1}{8} $