NEET2006PhysicsNuclear PhysicsActual
The fossil bone has a ¹⁴ C : ¹² C ratio, which is [1 / 16] of that in a living animal bone. If the halflife time of ¹⁴ C is 5730 years, then the age of the fossil bone is
Options
- A11460 years
- B17190 years
- C22920 years
- D45840 years.
Correct answer
C. 22920 years
Step-by-step solution
After 5730 years, the number of C ¹⁴ remaining is 1 2 th original. To have (1 / 16) original value, it takes (1 / 2)^4, 4 half lives. Therefore, the bone is 4 5730 years =22920 years old.