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For a wave A sin ( kx - ωt) and a wave A sin ( kx + ωt) travelling opposite to each other, on evaluating by applying superposition principle , the resultant displacement function is 2A sin ( kx ) cos (ωt) . For different Node Anti-node configurations we calculate natural frequencies of the standing waves in the medium/string. Is this totally different from the frequency of the individual particles in the medium which execute an SHM with a fixed amplitude, calculated out of ω . What is the physical difference of frequency that maybe calculated from ω and the natural frequencies ?