A ray of light is incident on a plane mirror along a vector i cap + j cap +k cap . The normal on incidence point is along icap+ jcap . The unit vector along the reflected ray is?

Question

Vikas TU · Answer

First write down the angle b/w the incident and normal and equate it to the angle of normal and reflected light. Assume reflected light be ai + bj + ck. its magnitude would be 1. Therefore, (a+b)/root(2) = (1+1)/root2*root3 = 2/root(6) thus, a+b = 2/root(3). Now do same thing with plane line eqn. that would be perpendicular to normal and that is: icap – jcap. but keep the angle this time 90 – thetha.

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A ray of light is incident on a plane mirror along a vector i cap + j cap +k cap . The normal on incidence point is along icap+ jcap . The unit vector along the reflected ray is?

A ray of light is incident on a plane mirror along a vector i cap + j cap +k cap . The normal on incidence point is along icap+ jcap . The unit vector along the reflected ray is?

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