Question

Which of the following statement is correct if we cut two spherical mirrors from the same sphere?

• A. They necessarily have same radius of curvature but may have same or different aperture.
• B. They may have different radius of curvature
• C. They have different radius of curvature but same aperture.
• D. They have different radius of curvature and aperture.

Answer 1

The correct option is A They necessarily have same radius of curvature but may have same or different aperture.

Since both the mirrors are cut from the same sphere, they must have same radius of curvature which is equal to the radius of sphere.
However, they may have same as well as different aperture.
Example: In the given figure $AB$ and $XY$ divides the sphere into mirrors of different aperture.