The focal length of a convex mirror whose radius of curvature is is ____cm.

Question

The focal length of a convex mirror whose radius of curvature is  is ____cm.

Infinity Learn · Accepted Answer

Concept- The focal length would be 16 cm. We know that the radius of curvature of a mirror is double that of its focus. The sign convention is equally as important as in the case of convex mirrors, when the focus point is situated to the right of the horizontal axis.
The claim includes the following information:
There is a sphere-shaped convex mirror there.
The radius of curvature of the mirror is 32 cm.
The focal length of the convex mirror has to be determined.
First, it's important to comprehend the vocabulary being used. The radius of curvature and the focal length, commonly referred to as the length of the focal point, are two different ideas. the width of the
The curvature of a mirror depends on the radius of the sphere of which it is a part. Focus is one thing that is really crucial. Distant light beams seem to be parallel to the optical axis in the case of the spherical mirror. These rays often bend in or out through a point called after reflection.
as the centre. We know that the focal length is usually half the radius of the curve. Once more, great consideration must be paid to the focal length and the sign of the radius of curvature. Because the focus point must always be positive according to the sign convention, convex mirrors are always positive in their radius of curvature or focal length.
on the side of the horizontal axis to the right.
Therefore, the convex mirror's radius of curvature is

.
Therefore, the convex mirror's focal length is:

Where,

displays the mirror's focal length.

indicates the radius of curvature of the mirror.
Now, we substitute the required value in the equation (1) we get:

Hence, the focal length of the convex mirror is

.

The focal length of a convex mirror whose radius of curvature is is ____cm.

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