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#sound intensity

2 public questions tagged with this topic.

Which phenomenon explains the periodic waxing and waning of sound intensity when two sound waves of slightly different f

**Superposition principle** states resultant displacement equals algebraic sum of individual waves, y = y₁ + y₂. For coherent waves with phase difference φ, resultant amplitude A = √(a₁² + a₂² + 2a₁a₂ cosφ), equal amplitudes give A = 2a cos(φ/2), constructive when φ = 2nπ, destructive when φ = (2n+1)π. Beats occur when two waves of slightly different frequencies superpose, causing constructive and destructive interference periodically, resulting in alternating loudness (waxing and waning). Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields Beats,

Ref: NCERT > Physics Book > Waves > Superposition and Interference of Waves

What causes the intensity of a sound wave to decrease as it travels through a medium?

**Transverse wave velocity** depends on medium not frequency alone. For string under tension, v ∝ √(T/μ), calculation requires μ from mass and length, then square root evaluation, giving v in m/s, then f = v/λ for given wavelength. Energy dissipation occurs due to absorption and scattering in the medium, reducing intensity as the wave spreads and loses energy to internal friction or obstacles. Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields Energy dissipation, illustrating frequency-length-speed interdependence and quantization by boundaries.

Ref: NCERT > Physics Book > Waves > Wave Speed, Energy and Power