why light travel in the form of wave
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Light travel in the form of a wave due to its wave nature. It doesn't required any medium to travel. It can travel through vaccum. As light is the flow of photons it is considered as wave.
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One reason for this was that shining light through two slits at once produces an interference pattern, which is only possible with waves. When James Clerk Maxwell published his theory of electromagnetism in 1873, he based the equations on the wave-like nature of electricity, magnetism and light -- a related phenomenon.
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