If the Half-Life of a Radioactive Isotope Is 5000 Years $- \frac { 2 } { \ln 5000 }$

Multiple Choice

If the half-life of a radioactive isotope is 5000 years, then its decay constant is

A) $- \frac { 2 } { \ln 5000 }$
B) $- \frac { 1 } { \ln 2500 }$
C) $- \frac { \ln 2 } { \ln 5000 }$
D) $- \frac { \ln 2 } { 5000 }$
E) $- \frac { \ln 5000 } { 2 }$