At a point on a plane mirror

PHYSICS · Single correct · CBSE · Physics · Light — Reflection and Refraction · Light — Reflection and Refraction

Problem

At a point on a plane mirror, the directions of the incident ray i\mathbf{i}, the reflected ray r\mathbf{r} and the unit normal n\mathbf{n} are recorded in four separate trials as follows (components are in the same units): Trial A: i=(1, 2, 0)\mathbf{i}=(1,\,2,\,0), r=(1, −2, 0)\mathbf{r}=(1,\,-2,\,0), n=(0, 0, 1)\mathbf{n}=(0,\,0,\,1) Trial B: i=(1, 1, 1)\mathbf{i}=(1,\,1,\,1), r=(1, 1, −1)\mathbf{r}=(1,\,1,\,-1), n=(0, 0, 1)\mathbf{n}=(0,\,0,\,1) Trial C: i=(2, 0, 1)\mathbf{i}=(2,\,0,\,1), r=(2, 0, −1)\mathbf{r}=(2,\,0,\,-1), n=(0, 0, 1)\mathbf{n}=(0,\,0,\,1) Trial D: i=(0, 1, 1)\mathbf{i}=(0,\,1,\,1), r=(0, −1, −1)\mathbf{r}=(0,\,-1,\,-1), n=(1, 0, 0)\mathbf{n}=(1,\,0,\,0) In which trial is the FIRST law of reflection violated? (a) Trial C (b) Trial A (c) Trial B (d) Trial D

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