The population \( p(t) \) at time \( t \) of a certain mouse species satisfies the differential equation \( \frac{d p(t)…

The population \( p(t) \) at time \( t \) of a certain mouse species satisfies the differential equation \( \frac{d p(t)}{d t}=0.5 p(t)-450 \). If \( p(0)=850 \), then the time at which the population becomes zero is

[JEE Main 2021, 24 Feb (Shift 1)]