In the frequency mode, the counter measures the frequency of a signal. For an input that yields a reading of 1000, the counter is measuring the frequency as:
\[
f = \frac{1}{T} \text{where} T = 1 \, \text{s}.
\]
In period mode, the counter measures the period of the signal. The period is the inverse of the frequency. Since the counter is now set to measure in microseconds (\( \mu s \)) and the frequency has been measured as 1 Hz, the period will be 1 second, which is equivalent to 1000 microseconds.
Thus, in period mode, the counter will display 1000.
Final Answer: 1000