Home › Previous year questions › GATE 2017 EE (EE2) › Question 57GATE 2017 EE (EE2) – Question 57 Electrical and Electronic Measurements · Instrument transformers, Digital voltmeters and multi-meters, Phase, Time and Frequency measurement · 2 marks · Numerical answer
A 10½-digit timer-counter has a 100 MHz base clock. The same numerical reading occurs in frequency mode with 1 s gating and in period mode on the ×10 ns scale. The unknown input frequency in Hz is ________.
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Show answer and explanation Correct answer: 10000 to 10000
Explanation In frequency mode the counter counts f input cycles during a one-second gate, giving numerical reading f.
The base clock period is 10 ns. In period mode the reading is the number of those ticks in an input period: $N=(1/f)/(10^{-8})=10^8/f$.
Equating readings gives $f^2=10^8$, so the positive frequency is **10000 Hz**.
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