Equal masses of two samples of charcoal `A and B` are burnt separately and the resulting carbon dioxide are collected in two vessels. The radioactivity of `^14 C` is measured for both the gas samples. The gas from the charcoal A gives `2100 counts` per week and the gas from the charcoal A gives 2100 counts per week and the gas from the charcoal `B` gives `1400` counts per week. Find the age difference between the two samples. Half-life of `^14 C = 5730 y`.

Options

A. `5730 y`
B. `11460 y`
C. `17190 y`
D. `22920 y`

Answer

B

Explanation

`t=(t_(1//2)log.(N_(0))/(N))/(log 2)`