plane mirror

Asked by  | 28th May, 2009, 01:15: PM

Expert Answer:

 
Relation between Focal Length and Radius of Curvature in Spherical Mirrors
 
 
 
Consider a ray of light AB, parallel to the principal axis, incident on a spherical mirror at point B. The normal to the surface at point B is CB and CP = CB = R, is the radius of curvature. The ray AB, after reflection from mirror will pass through F (concave mirror) or will appear to diverge from F (convex mirror) and obeys law of reflection, i.e., i = r.
 
From the geometry of the figure,
 
 
 
If the aperture of the mirror is small, B lies close to P, \ BF = PF
 
or FC = FP = PF
 
or PC = PF + FC = PF + PF
 
or R = 2 PF = 2f
 

Answered by  | 29th May, 2009, 01:16: AM

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