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GATE 2025 MN – Question 57

Surface Environment, Mine Ventilation and Underground Hazards · Surface Environment · 2 marks · Numerical answer

Noise is80 dB(A) for10 min and60 dB(A) for30 min. Find the40-min energy-equivalent level in dB(A) to two decimals.

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Correct answer: 73.00 to 76.00

Explanation

Average acoustic energy rather than decibels. The mean energy-proportional quantity is $$(10\times10^8+30\times10^6)/40.$$ Its value is25,750,000. Taking ten times its base-ten logarithm gives74.11 dB(A). The arithmetic average of the decibel readings would not preserve acoustic energy.

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