Question

The half-life of carbon-$14$ (${}^{14}C)$ is $5715$ yr. What is its decay constant?

Answer 1

Given,

Half-life of carbon-14 = 5715 years

We have to find the decay constant

We have the equation for half-life,

$t_{\frac{1}{2}}=\frac{0.693}{\lambda }$

Where,

$t_{\frac{1}{2}}$ is the half-life and $\lambda$ is the decay constant

So,

$\lambda =\frac{0.693}{5715}=0.0001212598$