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The activity of carbon-14 in a piece of ...

The activity of carbon-14 in a piece of ancient wood is only 12.5 % . If the half life period of carbon-14 is 5760 years, the age of the piece of wood will be

A

`17.281 xx 10^2` years

B

`172.81 xx 10^2`

C

`1.7281 xx 10^2 ` years

D

`1728.1 xx 10^2 `years

Text Solution

Verified by Experts

The correct Answer is:
B
`t_(1//2)` of `C- 14 = 5760` years, `lambda = (0.693)/(5760)`
Now `t= (2.303)/(lambda) log (100)/(12.5) = (2.303 xx 5760 xx 0.9030)/(0.693)`
`= 17281 = 172.81 xx 10^2 `years
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