Identify the incorrect statement regarding the reflection of light from a plane mirror when a light ray is incident obliquely. →R,→I and →N represents the vectors along the reflected ray, incident ray and normal direction.
A
→R.(→I×→N)=0
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B
→N.(→I×→R)=0
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C
→I.(→N×→R)=0
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D
→N×→I=0
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Solution
The correct option is D→N×→I=0 Reflection of light from a plane mirror is shown in the figure.
We know that incident ray, reflected ray and normal all will lie in the same plane.
Therefore, →I×→N will be ⊥→R. Thus, →R.(→I×→N)=0
Similarly, →N.(→I×→R)=0 and →I.(→N×→R)=0
As ray has been incident obliquely, therefore, 0∘<θ≤90∘.
So, →N×→I≠0
Hence, option (d) is correct.