When a population growing in a habitat with limited resources reaches its carrying capacity:
Mortality refers to the number of deaths in a population per unit time. Birth rate refers to the number of births in a population per unit time.
A population growing in a habitat with limited resources, initially shows a phase of slow growth (lag phase), where the birth rate is less as the individuals are getting adapted to the new environment. This is followed by a phase of acceleration (log phase) where the number of births is more than the number of deaths. Then, the population shows deceleration during which mortality exceeds the birth rate.
Finally, when the size of the population reaches the carrying capacity (K), which is the maximum number of individuals of a population that can be sustained in a given habitat, the population reaches the stationary phase during which the mortality becomes equal to the birth rate. Thus, option b is correct.