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Transverse nature of light

Mallika Somnath asks:

it is said that in tranverse waves the particles move perpendicular to the direction of motion of wave.
it is also said that light is a transverse wave.
but how can the particles in light move at all, as light doesn’t require a medium to travel?

Answer:

Light is an electromagnetic wave, energy propagated as a combination of electric and magnetic fields varying with time in mutually perpendicular directions, also perpendicular to the direction of propagation. This makes light a transverse wave.

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