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A Question that is bothering me since I learnt about the…

A Question that is bothering me since I learnt about the dual nature of electron and photons and copmton effect

I'm really wondering what if we somehow in a 1 dimensional space shoot a photon with a velocity of C and a certain wave length towards an electron that is coming in the opposite direction in the same straight line and increased its velocity as much as we could so it may reach the same momentum and the photon we shoot
My question now is if will both behave as particles and collide resulting that each of them will reverse direction without any of them losing any energy or will both behave as waves and wave interfere passing through each other ?

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