Nuclear Physics And Radioactivity Question 316
Question: Carbon $ -14 $ decays with half-life of about 5,800 years. In a sample of bone, the ratio of carbon $ -14 $ to carbon $ -12 $ is found to be $ \frac{1}{4} $ of what it is in free air. This bone may belong to a period about x centuries ago, where x is nearest to [KCET 1994]
Options:
A) $ 2\times 58 $
B) 58
C) 58/2
D) $ 3\times 58 $
Show Answer
Answer:
Correct Answer: A
Solution:
To becomes $ \frac{1}{4} $ th, it requires time of two half lives $ i.e.,t=2({T_{1/2}})=2\times 5800=2\times 58 $ centuries
BETA
