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Nuclear waste is a much smaller problem than most people think. The waste is very little and can be stored underground for eons without much risk.
Yes it exist for a long time, but one kilo of uranium produces as much energy as 16 ton coal, and leaves behind 47 grams of nuclear waste.
I still prefer 47 grams of nuclear waste over 1950 Kg of coal pollution in the air.
That is for the same amount of energy.