Question

The focal length of a convex mirror is 15 cm find its radius of curvature

Answer 1

to find the radius of mirror

we have f=15cm

we use the relations between radius and focal length
i. e R=2F

putting the value of focal length (f) i.e.15cm(given)

we get that R=30cm

Answer 2

Answer:

Radius of curvature = 30 cm.

Explanation:

Given, f = 15 cm

We know

for a mirror, R = 2f

R=2×15cm

R=30cm

Radius of curvature of a plane mirror:

• A plane mirror has an infinite radius of curvature.
• A plane mirror can be thought of as a component of an infinitely large spherical surface.
• The radius of the sphere from which the mirror was cut defines the radius of curvature of the mirror.
• As a result, the radius of curvature of a plane mirror is infinitely long.

The light rays which come from the object get reflected from the plane mirror and reach our eyes.

At this point of time our brain feels that the reflected ray is coming from inside the mirror.

This is the reason why the object seems to be laterally inverted.

Now this plane mirror is plane in nature i.e. it is not curved so for the radius of the curvature this plane mirror be the part of the infinite radius sphere so that every part of the sphere resembles a plane mirror.

As the radius of the sphere is infinite, so the radius of the curvature of the plane mirror is infinite.

Now as we know that the focal length of any mirror is twice the radius of curvature so the focal length of the plane mirror is also infinite.

Hence the radius of the curvature of the plane mirror is infinite.

The focal length of a convex mirror is 15 cm find its radius of curvature

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What is the radius of curvature of a plane mirror?

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