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A photon is a massless "particle" of light, and travels at the speed of light. Neutrinos actually have some negligible mass, but because the mass is not zero, they cannot travel at the speed of light. So starting from the same point, and ignoring any obstructions, a photon will arrive first.

However, there are often obstructions. Coming from the center of the Sun, any photon would be certain to be absorbed by some atom within the Sun and then re-radiated a very great number of times before that packet of energy could reach the Sun's surface and be radiated into space. A neutrino, on the other hand, interacts with solid matter only very weakly. A neutrino generated within the Sun's core would probably pass directly through the mass of the Sun and escape into free space at nearly the speed of light.

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Q: What will reach earth first a high energy photon or a neutrino?
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