What is the phase change when a longitudinal wave reflects off a rigid boundary?
**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. For a longitudinal wave, a rigid boundary (fixed end) causes a compression to reflect as a compression, resulting in no phase change (0 radians), unlike transverse waves which invert. Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 0 radians, illustrating frequency-length-speed interdependence and quantization by boundaries.
Ref: NCERT > Physics Book > Waves > Transverse and Longitudinal Waves