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Answer :
Final answer:
The spherical mirror with a radius of curvature of 75 cm has a focal length of 37.5 cm and is a concave mirror, based on standard mirror equations.
Explanation:
The radius of curvature (R) of a spherical mirror relates to its focal length (f) through the mirror equation f = R/2. Given that the radius of curvature of the spherical mirror is 75 cm, we can calculate its focal length by simply dividing the radius of curvature by 2, which gives us a focal length of 37.5 cm.
As for the type of mirror, the problem doesn't specify whether it's a concave or convex mirror, but both concave and convex mirrors follow the same relationship between radius of curvature and focal length. However, based on the options provided, a concave mirror is typically associated with a positive focal length, while a convex mirror would have a negative focal length due to virtual imaging. Thus, the correct answer is (a) f = 37.5 cm, Concave.
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