Answer to Question #275369 in Optics for chester

Question

An object is 28 centimeters from the center of a silvered spherical glass Christmas tree ornament 4.0 cm in diameter. What is the focal length of the ornament? Is it a concave or convex mirror? Will the image be real or virtual? Will the image be upright or inverted? What are the position and magnification of its image? If the object is 3.0-meter-high, what is the height of the image?

Answer 1

The focal length of the ornament is d/4=1 cm.

It is a convex mirror.

The image will be virtual and upright.

Position:

$$i=\frac{of}{o-f}=1.04\text{ cm}$$

Magnification:

$$m=\frac{i}{o}=0.037.$$

The height of a 3-m tall object would be

$$h_i=h_om=0.11\text{ cm}.$$