Practice question

**Wave classification** depends on particle vibration relative to propagation. Longitudinal waves have particle oscillation parallel to propagation, creating compressions and rarefactions as in sound in air; transverse have perpendicular oscillation. Tuning fork generates longitudinal sound because air cannot sustain shear. ω = 2π v = 2π × 15 = 30π rad/s . Max acceleration: aₘₐₓ = a ω² = 0.05 × (30π)² . aₘₐₓ = 0.05 × 900π² ≈ 4441 m/s² . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 4440 m/s², illustrating frequency-length-speed interdependence and quantization by boundaries.