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GATE 2025 MN – Question 32

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

Airways of resistance4.0,6.25 and9.0 N s²/m⁸ are in parallel. Find equivalent resistance to two decimals.

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Correct answer: 0.50 to 0.80

Explanation

Parallel branches have equal pressure drop and quantities add. Consequently1/√Req=1/√4+1/√6.25+1/√9=1/2+2/5+1/3=37/30. Thus Req=(30/37)²=0.657414, or0.66 N s²/m⁸.

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