How is the difference in paths taken by two originally in-phase light waves related to whether they interfere constructively or destructively? How can this be affected by reflection? By refraction?

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If the path difference is zero or integer multiple of wavelength ($\lambda$) of the light, then the two light will interfere constructively. But if the path difference is equal to the odd multiple of the half of the wavelength ($\lambda/2$) then they will interfere destructively.

How is the difference in paths taken by two originally in-phase light waves related to whether they interfere constructively or destructively? How can this be affected by reflection? By refraction?

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