The GATE Grind

GATE 2022 ES – Question 42

Air and Noise Pollution · Noise Pollution · 2 marks · Multiple choice

Independent sources have sound-power levels30 dB background,80 dB television and 70 dB radio. Reference sound power10⁻¹² W. Find combined level.

  1. 180.0 dB
  2. 80.4 dB
  3. 82.4 dB
  4. 150.0 dB

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Show answer and explanation

Correct answer: (B) 80.4 dB

Explanation

Add powers, not decibels: $L=10\log_{10}(10^3+10^8+10^7)=80.41397$ dB. Thus **80.4 dB, B**. The common reference cancels when summing these power ratios; independence permits ordinary energetic addition.

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