Solveeit Logo

Question

Question: If half life of a radioactive element is 3 hours, after 9 hours its activity becomes....

If half life of a radioactive element is 3 hours, after 9 hours its activity becomes.

A

1/9

B

1/27

C

1/6

D

1/8

Answer

1/8

Explanation

Solution

By using A=A0(12)tT1/2A = A_{0}\left( \frac{1}{2} \right)^{\frac{t}{T_{1/2}}}AA0=(12)9/3=18\frac{A}{A_{0}} = \left( \frac{1}{2} \right)^{9/3} = \frac{1}{8}