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Question

In a progressive wave, what is the key difference between particle displacement and wave propagation
direction for a transverse wave?

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Explanation

**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. In a transverse wave, particles oscillate perpendicular to the direction of wave propagation, unlike longitudinal waves where they are parallel. Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields They are perpendicular, illustrating frequency-length-speed interdependence and quantization by boundaries.

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