Refraction and reflection

  1. Prove mathematically that when a plane mirror is rotated an angle theta about an axis through its center, the angle of deflection of a light is equal to 2theta. How am i to show draw this out? I have already drawn my points and lined up my angles with and without the mirror rotated. I dont know what direction to take my proof now.
     
  2. jcsd
  3. it depends on what you mean by the angle of deflection. Do you mean the angle of incidense + the angle of reflection. If this is the case, rotationg the mirror by an angle [tex] \theta [/tex] would increase both the angle of incidence and the angle of reflection by [tex] \theta [/tex], resulting in an angle difference of [tex] 2\theta [/tex].

    If you want to prove this just draw a diagram. Then tilt your diagram by a certain angle. See what happens.

    Regards,

    Nenad
     
Know someone interested in this topic? Share a link to this question via email, Google+, Twitter, or Facebook

Have something to add?