Question

write down the relation between focal length and radius of curvature of convex mirror

Answer 1

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 axis FA = FP

∴ CF = FP

Then,

R = CP

R = CF + FP

R = f + f

∴ R = 2f

Answer 2

The relation between the focal length and radius of curvature of convex mirror is given by :

$R=2f$

Explanation:

Focal length of a mirror is defined as a point where all the rays coming parallel to principal axis converge or diverge. The radius of curvature is defined as the radius of the spherical mirror.

The relation between the focal length and radius of curvature of convex mirror is given by :

$R=2f$

R is radius of curvature

f is focal length

https://brainly.in/question/797195