The ratio of intensities between two coherent sound sources is 4: 1. The difference of loudness in dB between maximum and minimum intensities when they interfere in space is:
Options

Question

The ratio of intensities between two coherent sound sources is 4: 1. The difference of loudness in dB between maximum and minimum intensities when they interfere in space is:

G1 Physics · Accepted Answer

Step 1: I₁:I₂ = 4:1, so A₁:A₂ = 2:1. Step 2: Imax/Imin = (2+1)²/(2−1)² = 9. Step 3: Δβ = 10log₁₀9 = 20log₁₀3 dB. Final: B.