A concave mirror has a 4-m radius of curvature. This mirror will focus distant objects at a location that is approximately:A.4 m in front of the mirror.B.4 m behind the mirror.C.2 m in front of the mirror.D.2 m behind the mirror.
Question
A concave mirror has a 4-m radius of curvature. This mirror will focus distant objects at a location that is approximately:A.4 m in front of the mirror.B.4 m behind the mirror.C.2 m in front of the mirror.D.2 m behind the mirror.
Solution
The focal length (f) of a mirror is half its radius of curvature (R). This is given by the formula f = R/2.
Given that the radius of curvature of the mirror is 4 meters, we can substitute R = 4 meters into the formula to find the focal length.
f = 4m/2 = 2m
A concave mirror focuses light in front of the mirror. Therefore, the mirror will focus distant objects at a location that is approximately 2 meters in front of the mirror.
So, the correct answer is C. 2 m in front of the mirror.
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