The GATE Grind

GATE 2026 AG – Question 20

Farm Power · Tractors and Power Tillers · 1 mark · Multiple choice

RMS sound pressure increases by 50%. Approximately how much does sound-pressure level increase, in dB?

  1. 3.52
  2. 8.11
  3. 100.21
  4. 43.52

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Correct answer: (A) 3.52

Explanation

Sound-pressure level uses $L_p=20\log_{10}(p_{\mathrm{rms}}/p_0)$. Taking the difference cancels the reference pressure:$\Delta L_p=20\log_{10}(1.5)=3.5218$ dB. Therefore **3.52 dB, A**;the 10-log expression applies to a power ratio rather than a pressure ratio.

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