When a Geiger counter registers a count, a certain amount of time must elapse before it will register a subsequent count. This is known as the...

When a Geiger counter registers a count, a certain amount of time must elapse before it will register a subsequent count. This is known as the paralysis time or dead time torque (t) or resolving time. A Geiger counter with a t=200 us, is used to detect radiation from a radioactive source. If the observed count rate is 1000 counts per second, what is the true count rate?