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Correct, simple, wasn't it? We have seen this in our kitchens all the time! If you use a simple filter, the tea particles are too big to go through the holes and they get stuck in the filter. This process is called filtration.
But, in other situations, the particles may be extremely tiny. Then, we cannot use a filter to separate them, as the particles will go through the filter as well. We then use a process called centrifugation.

In Centrifugation, the mixture is rotated at very high speeds in a container. Due to the high speeds, all the heavy particles settle at the bottom.