Carbon-14 Is a Radioactive Isotope Which Decays with a Half-Life

Carbon-14 is a radioactive isotope which decays with a half-life of 5730 years. What is the first-order rate constant for its decay, in units of years⁻¹?

A) 5.25 × 10 ⁻⁵ years ⁻¹
B) 1.21 × 10 ⁻⁴ years ⁻¹
C) 1.75 × 10 ⁻⁴ years ⁻¹
D) 3.49 × 10 ⁻⁴ years ⁻¹
E) 3.97 × 10 ³ years ⁻¹