A piece of bone of an animal from a ruin is found to have ^14 C activity of 12 disintegrations per minute per gm of its carbon content. The ^14 C…

A piece of bone of an animal from a ruin is found to have $\displaystyle { }^{14} \mathrm{C}$ activity of $\displaystyle 12$ disintegrations per minute per gm of its carbon content. The $\displaystyle { }^{14} \mathrm{C}$ activity of a living animal is $\displaystyle 16$ disintegrations per minute per gm. How long ago nearly did the animal die ? (Given half life of $\displaystyle { }^{14} \mathrm{C}$ is $\displaystyle \mathrm{t}_{1 / 2}=5760$ years)