Question

A radioactive sample has half-life of \(5\) years. The percentage of fraction decayed in \(10\) years will be

• A. \(25\%\)
• B. \(50\%\)
• C. \(75\%\)
• D. \(90\%\)

Hint:

After n half-lives the remaining fraction is (1/2)^n.

Answer 1

The Correct Option is C

Step 1: Step by Step:
After 5 years, half is left (50%). After 10 years, half of that is left (25%).

Step 2: Decayed:
The decayed part is $100-25=75\%$.

Step 3: Answer:
Option (C).

Final Answer:
Option (C). \[ \boxed{\text{(C) } 75\%} \]