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The process that causes fireworks to emit light is the excitation of an electron. When you give energy to an electron is a substance via heat etc. it is able to move up to a higher energy level. There is a set amount of energy between the energy state the the electron was in and now is in. The electron prefers to be in the lower energy state so releases some energy in the form of a photon which is a light particle. The energy of the photon depends on the distance between the 2 energy levels which in turn depends on the substance (copper, iron etc.). Different energies give photons of different wavelengths and therefore different colours

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What is a cluster of fireworks that revolve?

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