Spherical Mirrors

To solve the problem, we need to find the radius of curvature of a spherical mirror when the focal length is given.

1. Relationship Between Focal Length and Radius of Curvature:
The focal length ( ) and the radius of curvature ( ) of a spherical mirror are related by the formula:

2. Given Information:
The focal length cm.

3. Finding the Radius of Curvature:
Using the formula , we can find :

Final Answer:
The radius of curvature is

To solve the problem, we need to find the formula for magnification in the case of a spherical mirror.

1. Magnification Formula for Spherical Mirrors:
The magnification for spherical mirrors (both concave and convex) is given by the formula:

where:
is the image distance (distance of the image from the mirror),
is the object distance (distance of the object from the mirror).

2. Conclusion:
The correct formula for magnification in case of spherical mirrors is .

Final Answer:
The formula for magnification in case of spherical mirror is .

To solve the problem, we need to find the focal length of a spherical mirror given its radius of curvature.

1. Using the Relationship Between Radius and Focal Length:
For a spherical mirror, the focal length ( ) is half of the radius of curvature ( ):

2. Substituting the Given Radius:

Final Answer:
The focal length is .