The radius of curvature of a spherical concave mirror is 0.36 m, if the image of the object is at a distance

The radius of curvature of a spherical concave mirror is 0.36 m, if the image of the object is at a distance of 1.26 m, then at what distance from the mirror is this object located?

Data: R (radius of curvature of the taken spherical concave mirror) = 0.36 m; f (distance from the taken mirror to the image of the object) = 1.26 m.

To determine the distance from the taken mirror to the location of the object, we use the equality: D = 1 / F = 2 / R = 1 / f + 1 / d, whence 1 / d = 2 / R – 1 / f = (2f – R) / ( R * f) and d = R * f / (2f – R).

Let’s perform the calculation: d = 0.36 * 1.26 / (2 * 1.26 – 0.36) = 0.21 m.

Answer: The distance from the taken mirror to the location of the object is 0.21 m.