1
Half life of a radioactive element is 12.5 hours and its quantity is 256 g. After how much time its quantity will remain 1 g?
- 50 h
- 100 h
- 150 h
- 200 h
Answer
(2) 100 h
Solution
After n half-lives, N = N0 ( 12 )n
⇒ 1 = 256 ( 12 )n
⇒ 2n = 256 = 28
⇒ n = 8
∴ Time = n T1/2 = 8 12.5 = 100 h
Answer: (2)
Out of syllabusAIPMT 2001