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  •  A piece of bone of an animal from a ruin  is found to  have  14C  activity  of 12 disintegrations per minute per gm of its carbon content.  The 1

 A piece of bone of an animal from a ruin  is found to  have  14C  activity  of 12 disintegrations per minute per gm of its carbon content.  The 14C activity of a  living animal is 16 disintegrations per minute per gm. How long ago nearly did the animal die ?  (Given half life of 14C is t1/2 =5760 years)                    

 

Option: 1

1672 years


Option: 2

2391 years


Option: 3

3291 years


Option: 4

4453 years


Answers (1)

best_answer

A_{o}=16\: disintegration/sec

A_{t}=12\: disintegration/sec

A_{t}=A_{o}.e^{-\lambda t}

or \lambda t=ln(\frac{A_{o}}{At})

or t=t=\frac{1}{\lambda}\: ln \left ( \frac{Ao}{At} \right )= \frac{t_{1/2} }{0.693}\: ln \left ( 4/3 \right )

t\approx 2391 \ years

Posted by

vishal kumar

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