Answer to Question #275382 in Optics for chester

Question

An object 0.3 cm tall is plac 15.5 cm to the left of the vertex of a c mirror with a center of curvature of 24.0 cm. Determine the position, size, orientation and type (real or virtual) of the image.

Answer 1

The focal length is equal to half of the radius of curvature, so, the focal distance is 12 cm.

According to the equation for concave mirror:

$$\frac1f=\frac1o+\frac1i,\\\space\\ i=\frac{of}{o-f}=53\text{ cm}.$$

Size:

$$h_i=\frac ioh_o=1\text{ cm}.$$

The image is inverted and real.