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A wooden artifact sample gave activity 3...

A wooden artifact sample gave activity `32-beta` particles per second while the freshly cut wood gave activity of `64 beta` particles per second in Geiger Muller counter. Calculate the age of the wooden artifact `(t_(1//2) "of" C^(14) = 5760` years)

A

11520 yrs

B

5760 yrs

C

2880 yrs

D

1440 yrs

Text Solution

Verified by Experts

The correct Answer is:
b
`(0.693)/(t_(1//2)) = (2.303)/(t_("age")) log_(10) ((N_(0))/(N))`
`(0.693)/(5760) = (2.303)/(t_("age")) log_(10) ((64)/(32))`
`t_("age") = 5760 yrs`
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