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GATE 2021 MN – Question 32

Surface Environment, Mine Ventilation and Underground Hazards · Surface Environment · 1 mark · Numerical answer

The lower and upper frequencies of a 1/1 octave band are 710 Hz and 1420 Hz. Find its centre frequency in Hz, to the nearest integer.

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Correct answer: 999 to 1005

Explanation

Octave-band centre frequency is the geometric mean of the limits, not their arithmetic mean. Thus fc=√(710×1420)=1004.0916 Hz, which rounds to 1004 Hz. The upper/lower ratio of 2 confirms a full octave.

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