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The age of a specimen t is related to th...

The age of a specimen t is related to the daughter/parent ratio of number of atoms (D/P) by the equation (`lambda` = decay constant)

A

a) `t=(1)/(lambda)ln{(D)/(P)}`

B

b) `t=(1)/(lambda)ln{1+(P)/(D)}`

C

c) `t=(1)/(lambda)ln{2+(P)/(D)}`

D

d) `t=(1)/(lambda)ln{1+(D)/(P)}`

Text Solution

Verified by Experts

The correct Answer is:
D
Age of specimen (t) is related to the daughter/parent ratio of number of atoms (D/P) by equation
`D=P(1-e^(lambdat))`
where `lambda` = decay constant
`(D)/(P)=1-e^(lambdat)`
`1+(D)/(P)=e^(lambdat)`
`t=(1)/(lambda)ln(1+(D)/(P))`
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