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How do you derive relation between focal length and radius of curvature of concave mirror?
Wiki User
∙ 10y ago
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
or F=R/2
or 2F=R
Hope this helps............
Wiki User
∙ 10y ago
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