The GATE Grind

GATE 2020 IN – Question 53

Measurements · Time frequency and instruments: Timer/counter, time, phase and frequency measurements, digital voltmeter, multimeter and energy meter, digital storage oscilloscope, spectrum analyzer · 2 marks · Numerical answer

A 6½-digit timer-counter is in time-period mode with range set to ns. It displays 1000000. With the same input, it is changed to frequency mode with range set to Hz. What number is displayed?

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Correct answer: 999 to 1001

Explanation

The measured period is $10^6$ ns = $10^6\times10^{-9}=10^{-3}$ s. Frequency is the reciprocal, $f=1/T=10^3$ Hz. Therefore the frequency display in Hz is 1000. Reading the ns unit or the number of zeros incorrectly would change the answer by orders of magnitude.

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