GATE AG 2020 • Q27 NAT • 1 Mark

Section 3: Farm Power

Tractors and Power Tillers

Subtopic: Human engineering and safety considerations in design of tractor and agricultural implements

Question Statement:

The sound pressure level on the operator's seat of a tractor is 80 dB. If the reference sound pressure is 2×10⁻⁵ N/m², find the RMS sound pressure (N/m²). (Rounded to 2 decimal places)

Official Answer Key:

0.19 to 0.21

Step-by-Step Solution & Explanation

SPL = 20 log₁₀(p/pref) ⇒ p = pref×10^(SPL/20) = 2×10⁻⁵×10^(80/20) = 2×10⁻⁵×10⁴ = 0.20 N/m².

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