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GATE 2024 AR — Architecture – Question 64

Building Services · Acoustics in buildings · 2 marks · Numerical answer

A 3500 m³ lecture hall has the sound-decay curve shown. The source is switched off at P. Using RT 60, find total absorption in sabins, to nearest integer.

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Correct answer: 430 to 510

Explanation

At P the level is 110 dB at 0.4 s. A 60 dB decay reaches 50 dB at 1.6 s, so RT 60=1.2 s. Sabine’s equation gives absorption A=0.161V/T=0.161×3500/1.2=469.583 sabins, rounding to 470. The full decay to the 30 dB background is 80 dB, not the RT 60 interval.

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