Subtopic: Calculation of power, torque, fuel consumption, heat load and power losses
Question Statement:
While testing a tractor, the airborne sound intensity is increased so that the root mean square sound pressure is doubled. The corresponding increase in sound pressure level to the reference sound pressure of 2×10⁻⁵ Pa is
Options:
(A) 2 dB
(B) 4 dB
(C) 6 dB
(D) 8 dB
Official Answer Key:
C
Step-by-Step Solution & Explanation
Sound Pressure Level, SPL = 20 log₁₀(p/p_ref). Doubling p: ΔSPL = 20 log₁₀(2) = 20×0.301 = 6.02 dB ≈ 6 dB. (This is independent of the reference value since it's a ratio.) (B) mistakenly uses 10log₁₀(2) (intensity-level form for a factor-of-4 intensity change, not pressure doubling).
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