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The output frequency related to the sampling interval of a frequency counter as _____________

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Answer & Explanation
Correct AnswerC. More precision with longer sampling interval

Quick Explanation

A frequency counter estimates frequency by counting input cycles during a fixed gate/sampling interval. A longer interval counts more cycles and therefore improves frequency resolution and precision; the basic count-to-frequency relation is f = N/T_g.

Formula / Key Relation

fmeasured = N / Tg
Resolution Δf ≈ 1 / Tg

Detailed Explanation

Concept & Reasoning

If N complete cycles are counted during a gate interval T_g, the measured frequency is N/T_g. The ±1-count uncertainty corresponds to an approximate frequency resolution of 1/T_g. Thus increasing the sampling interval reduces the frequency quantization step and improves precision.

How to Solve It in the Exam

Longer gate time → finer frequency resolution.

Important Exam Point

Separate actual signal frequency from measurement resolution; the signal itself does not change when gate time changes.

Related Revision Path

This question sits in the revision path Digital Electronics → Digital Measurement → Frequency Counters .

Sampling Interval and Frequency Resolution explanatory diagram

Quick Trick

Longer gate time → finer frequency resolution.

Common Mistake

Interpreting a longer sampling interval as lowering the actual input frequency.

Exam Tip

Separate actual signal frequency from measurement resolution; the signal itself does not change when gate time changes.

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Previous Exam Appearances

Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 162
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 162
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 162
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 162
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 162
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 162
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 162
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 162
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 162
Assistant Engineer (Electrical), Class-2, Road and Building Department2025Q. 162

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