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The video discusses the classification of waves based on properties such as direction of vibration, number of oscillations, and dimension of propagation. Waves can be classified based on whether they require a physical medium to propagate, with mechanical waves such as sound and vibrations needing a medium while electromagnetic waves can propagate in a vacuum. The two types of waves are transverse, where particles move up and down while the wave moves from left to right, and longitudinal, where particles move in the same direction as the wave. Understanding wave classification is important in comprehending different types of waves encountered in daily life like sound and light.
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