`C^(14)` has a half`-` life of 5760 years. `100mg` of the sample containing `.^(14)C` is reduced to `25mg` in

Options

A. 11520 years
B. 2880 years
C. 1440 years
D. 17128 years

Answer

A

Explanation

We know that `N=((1)/(2))^(n)N_(0)`
`:. 25=((1)/(2))^(n) 100`
`(25)/(100)=((1)/(2))^(n)impliesn=2`
and `T=nxxt_(1//2)`
`:. T=2xx5760=11520years`