The age of a specimen, t, is related to the daughter/parent ratio D/P by the equation

Options

A. `t = 1/(lambda) ` In `D/P`
B. `t = 1/(lambda) ` In `(1+ P/D)`
C. `t = 1/(lambda) ` In `(1+ D/P)`
D. `t = 1/(lambda) ` In `(2+ P/D)`

Answer

C

Explanation

`N = N_0 e^(-lambdat)`
Where N = parent remaining = P
and `N_0` = Parent + daughter = P + D
`P = (P+ D)e^(-lambdat) implies (P)/(P+D) = e^(-lambdat)`
`implies "In" (P+D)/(P) = lambdat implies t = 1/lambda "In" (1+ D/P)`