Which laws are obeyed during TIR, laws of reflection or refraction? I have worked on it and I found that both can't be obeyed during this. Please explain.
Answer
Which laws are obeyed during TIR, laws of reflection or refraction?
Both.
Before the total internal reflection (TIR) threshold, the ray can be both reflected and refracted at the same time: some of it stays in the material, the rest leaves it, so you have two rays leaving the interface. That the TIR takes place is precisely a consequence of the "refraction law".
both can't be obeyed during this [TIR].
It doesn't make sense to state that: because these laws don't apply to the same ray, as the names in the Original Post makes clear. Beyond the critical angle, there is no refracted ray, and the reflected ray keeps obeying $\theta_r=\theta_i$, as it does for any angle.
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