A north magnetic pole is facing another north magnetic pole with a distance x. If the distance between the poles becomes 12x, what happens to the magnitude of the field energy between them? The answer is "The field energy will increase"

What will happen to the magnitude of the field energy between them is that

Whenever there is a stored energy in an object at rest, the object will move in the direction that causes the energy stored to decrease, which will be replaced by movement energy.

Therefore, if two magnets with like poles are pointing together, then the energy stored will decrease as they move apart. Hence, as the distance between poles decreases, field energy increases.

Magnetic pole are region at each end of a magnet where the external magnetic field is strongest.

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i would say

snell's law

refractve index = sin incidence / sin refraction