Question

If the activities of a radioactive substance at times \(t=0\) and \(t=3T\) are A and B respectively, then the activity of the substance at a time \(t=9T\) is

• A. \(\frac{A^{3}}{B^{2}}\)
• B. \(\frac{A^{2}}{B}\)
• C. \(\frac{B^{2}}{A}\)
• D. \(\frac{B^{3}}{A^{2}}\) \bigskip

Hint:

Whenever activity is given at two different times, form ratios first. Exponential terms cancel quickly and lengthy calculations are avoided.

Answer 1

The Correct Option is D