. Obtain relation between focal length and radius of curvature, ofconc

1.	. Obtain relation between focal length and radius of curvature, ofconcave mirror (ii) convex mirror using proper ray diagram
Answer» please give the derivation Ray parallel to the principle axis strike at a point ‘A’ on the mirror. To make a normal at any point on the spherical mirror a line passing through center of curvature is taken. As per the rules of reflection: angle of incidence = angle of reflection ∠i = ∠r ........(1) As OA and CP are parallel to each other, we get ∠ACF = i And ∠FCA = i ............ from eq.1 ∴ ∠ACF = ∠FCA = i ∴ CF = FA When incident ray comes closer to principle axisFA = FP ∴ CF = FP Then, R = CP R = CF + FP R = f + f ∴ R = 2f

. Obtain relation between focal length and radius of curvature, ofconcave mirror (ii) convex mirror using proper ray diagram

Answer»

please give the derivation

Ray parallel to the principle axis strike at a point ‘A’ on the mirror.

To make a normal at any point on the spherical mirror a line passing through center of curvature is taken.

As per the rules of reflection: angle of incidence = angle of reflection

∠i = ∠r ........(1)

As OA and CP are parallel to each other, we get

∠ACF = i

And

∠FCA = i ............ from eq.1

∴ ∠ACF = ∠FCA = i

∴ CF = FA

When incident ray comes closer to principle axisFA = FP

∴ CF = FP

Then,

R = CP

R = CF + FP

R = f + f

∴ R = 2f

Discussion

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